Edit Profile (opens in new tab) Guralnick, Robert Michael Co-Author Distance Author ID: guralnick.robert-m Published as: Guralnick, Robert M.; Guralnick, Robert; Guralnick, R. M.; Guralnick, R. more...less Homepage: https://dornsife.usc.edu/cf/faculty-and-staff/faculty.cfm?pid=1003312 External Links: MGP · ORCID · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 296 Publications since 1977, including 3 Books and 14 Additional arXiv Preprints 5 Contributions as Editor · 5 Further Contributions Reviewing Activity: 68 Reviews Biographic References: 1 Publication Co-Authors: 177 Co-Authors with 247 Joint Publications 4,742 Co-Co-Authors all top 5 Co-Authors 54 single-authored 29 Tiep Pham Huu 16 Saxl, Jan 12 Fulman, Jason E. 11 Burness, Timothy C. 11 Malle, Gunter 10 Garibaldi, Skip 10 Navarro Ortega, Gabriel 7 Kantor, William M. 7 Liebeck, Martin Walter 7 Maróti, Attila 7 Praeger, Cheryl Elisabeth 6 Estes, Dennis Ray 6 Larsen, Michael Jeffrey 6 Magaard, Kay 6 Robinson, Geoffrey Raymond 6 Shalev, Aner 6 Wiegand, Roger Allen 5 Aschbacher, Michael George 5 Shumyatsky, Pavel 4 Harbater, David 4 Kassabov, Martin D. 4 Levy, Lawrence S. 4 Lubotzky, Alexander 4 Moretó, Alexander 4 Schacher, Murray M. 4 Shareshian, John 4 Zel’manov, Efim Isaakovich 4 Zieve, Michael E. 3 Acciarri, Cristina 3 Bass, Hyman 3 Breuer, Thomas 3 Breuillard, Emmanuel 3 Chinburg, Ted 3 Dolfi, Silvio 3 Herzig, Florian 3 Isaacs, I. Martin 3 Lawther, Ross 3 Lübeck, Frank 3 Miller, Michael D. 3 Montgomery, Susan 3 Plotkin, Eugene 3 Seitz, Gary M. 3 Small, Lance W. 3 Spiga, Pablo 3 Testerman, Donna Marie 2 Britnell, John R. 2 Etingof, Pavel Il’ich 2 Evseev, Anton 2 Frohardt, Daniel E. 2 Gaál, Marcell 2 Gerhardt, Spencer 2 Goldberg, Moshe 2 Green, Ben Joseph 2 Hiss, Gerhard 2 Holmes, Petra E. 2 Howe, Everett W. 2 Katz, Nicholas Michael 2 Lanski, Charles 2 Li, Chi-Kwong 2 Luxemburg, Wilhelmus Anthonius Josephus 2 Lyons, Richard 2 Müller, Peter 2 Nakano, Daniel K. 2 Premet, Alexander A. 2 Röhrle, Gerhard 2 Sonn, Jack 2 Tao, Terence 2 Tong-Viet, Hung P. 2 Tracey, Gareth M. 2 Woodroofe, Russ 1 Adkins, William A. 1 Aivazidis, Stefanos 1 Alladi, Krishnaswami 1 Andrews, George Eyre 1 Baranov, Alexander A. 1 Barnea, Yiftach 1 Baumeister, Barbara 1 Bending, Peter R. 1 Bernik, Janez 1 Bhargava, Manjul 1 Bhatia, Rajendra 1 Brenner, Joël Lee 1 Camillo, Victor P. 1 Camina, Alan R. 1 Chang, William H. 1 Cohen, Arjeh Marcel 1 Colliot-Thélène, Jean-Louis 1 del Río, Angel 1 Diaconis, Persi Warren 1 Evard, Jean-Claude 1 Fein, Burton 1 Flavell, Paul 1 Foote, Richard M. 1 Fried, Michael David 1 Frohardt, Dan 1 Garzoni, Daniele 1 Gelaki, Shlomo 1 Gille, Philippe 1 Glauberman, George 1 Gonçalves, Jairo Zacarias ...and 82 more Co-Authors all top 5 Serials 55 Journal of Algebra 20 Linear Algebra and its Applications 16 Proceedings of the American Mathematical Society 11 Israel Journal of Mathematics 10 Advances in Mathematics 10 Transactions of the American Mathematical Society 9 Linear and Multilinear Algebra 6 Journal of the European Mathematical Society (JEMS) 5 Communications in Algebra 5 Bulletin of the London Mathematical Society 5 Journal of Combinatorial Theory. Series A 5 Algebra & Number Theory 4 Journal of Number Theory 4 Journal of Pure and Applied Algebra 4 Pacific Journal of Mathematics 4 Proceedings of the London Mathematical Society. Third Series 4 Annals of Mathematics. Second Series 3 Archiv der Mathematik 3 Compositio Mathematica 3 Glasgow Mathematical Journal 3 Inventiones Mathematicae 3 Memoirs of the American Mathematical Society 3 Notices of the American Mathematical Society 3 Transformation Groups 3 Journal of Group Theory 2 Rocky Mountain Journal of Mathematics 2 Illinois Journal of Mathematics 2 Journal of the London Mathematical Society. Second Series 2 Journal of the American Mathematical Society 2 Bulletin of the American Mathematical Society. New Series 2 Indagationes Mathematicae. New Series 2 Representation Theory 2 Vietnam Journal of Mathematics 2 Groups, Geometry, and Dynamics 2 Forum of Mathematics, Pi 2 European Journal of Mathematics 1 American Mathematical Monthly 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematics of Computation 1 Mathematics Magazine 1 American Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Duke Mathematical Journal 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Combinatorica 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 International Journal of Algebra and Computation 1 IMRN. International Mathematics Research Notices 1 Aequationes Mathematicae 1 Journal of the Australian Mathematical Society. Series A 1 Irish Mathematical Society Bulletin 1 Journal of Algebraic Combinatorics 1 ELA. The Electronic Journal of Linear Algebra 1 Annals of Combinatorics 1 Journal of the Australian Mathematical Society 1 Journal of the Institute of Mathematics of Jussieu 1 Oberwolfach Reports 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Contemporary Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Bulletin of Mathematical Sciences 1 Research in Number Theory 1 Tunisian Journal of Mathematics all top 5 Fields 210 Group theory and generalizations (20-XX) 41 Algebraic geometry (14-XX) 39 Linear and multilinear algebra; matrix theory (15-XX) 36 Associative rings and algebras (16-XX) 35 Number theory (11-XX) 26 Field theory and polynomials (12-XX) 20 Commutative algebra (13-XX) 14 Combinatorics (05-XX) 10 Nonassociative rings and algebras (17-XX) 9 Topological groups, Lie groups (22-XX) 8 General and overarching topics; collections (00-XX) 8 Functions of a complex variable (30-XX) 7 History and biography (01-XX) 4 Probability theory and stochastic processes (60-XX) 2 \(K\)-theory (19-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 256 Publications have been cited 3,610 times in 2,235 Documents Cited by ▼ Year ▼ Subgroups of prime power index in a simple group. Zbl 0515.20011 Guralnick, Robert M. 213 1983 Some applications of the first cohomology group. Zbl 0554.20017 Aschbacher, M.; Guralnick, R. 124 1984 Probabilistic generation of finite simple groups. Zbl 0973.20012 Guralnick, Robert M.; Kantor, William M. 109 2000 Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements. Zbl 1256.20048 Fulman, Jason; Guralnick, Robert 92 2012 On the commuting probability in finite groups. Zbl 1100.20045 Guralnick, Robert M.; Robinson, Geoffrey R. 82 2006 Linear groups with orders having certain large prime divisors. Zbl 1041.20035 Guralnick, Robert; Penttila, Tim; Praeger, Cheryl E.; Saxl, Jan 73 1999 Generation of finite almost simple groups by conjugates. Zbl 1037.20016 Guralnick, Robert M.; Saxl, Jan 72 2003 On the automorphy of \(l\)-adic Galois representations with small residual image. With an appendix by Robert Guralnick, Florian Herzig, Richard Taylor and Jack Thorne. Zbl 1269.11054 Thorne, Jack 59 2012 A note on commuting pairs of matrices. Zbl 0754.15011 Guralnick, Robert M. 51 1992 On the minimal degree of a primitive permutation group. Zbl 0911.20003 Guralnick, Robert; Magaard, Kay 50 1998 Cross characteristic representations of symplectic and unitary groups. Zbl 1025.20002 Guralnick, Robert M.; Magaard, Kay; Saxl, Jan; Pham Huu Tiep 47 2002 Probabilistic generation of finite simple groups. II. Zbl 1181.20013 Breuer, Thomas; Guralnick, Robert M.; Kantor, William M. 46 2008 Products of conjugacy classes and fixed point spaces. Zbl 1286.20007 Guralnick, Robert; Malle, Gunter 46 2012 On base sizes for symmetric groups. Zbl 1222.20002 Burness, Timothy C.; Guralnick, Robert M.; Saxl, Jan 45 2011 Schur covers and Carlitz’s conjecture. Zbl 0855.11063 Fried, Michael D.; Guralnick, Robert; Saxl, Jan 43 1993 Indecomposable set-theoretical solutions to the quantum Yang-Baxter equation on a set with a prime number of elements. Zbl 1018.17007 Etingof, Pavel; Soloviev, Alexander; Guralnick, Robert 43 2001 Simple groups admit Beauville structures. Zbl 1255.20009 Guralnick, Robert; Malle, Gunter 43 2012 Cross characteristic representations of even characteristic symplectic groups. Zbl 1062.20013 Guralnick, Robert M.; Pham Huu Tiep 40 2004 Module equivalences: Local to global. When primitive polynomials represent units. Zbl 0492.13005 Estes, Dennis R.; Guralnick, Robert M. 36 1982 Finite simple unisingular groups of Lie type. Zbl 1046.20013 Guralnick, Robert M.; Pham Huu Tiep 32 2003 Low-dimensional representations of special linear groups in cross characteristics. Zbl 0974.20014 Guralnick, Robert M.; Pham Huu Tiep 31 1999 The rational function analogue of a question of Schur and exceptionality of permutation representations. Zbl 1082.12004 Guralnick, Robert M.; Müller, Peter; Saxl, Jan 31 2003 Finite groups of genus zero. Zbl 0713.20011 Guralnick, Robert M.; Thompson, John G. 30 1990 On the number of generators of a finite group. Zbl 0675.20026 Guralnick, Robert M. 30 1989 On Abelian quotients of primitive groups. Zbl 0679.20001 Aschbacher, Michael; Guralnick, Robert M. 30 1989 Commuting pairs and triples of matrices and related varieties. Zbl 0971.15007 Guralnick, Robert M.; Sethuraman, B. A. 30 2000 Self-normalizing Sylow subgroups. Zbl 1049.20010 Guralnick, Robert M.; Malle, Gunter; Navarro, Gabriel 29 2004 Thompson-like characterizations of the solvable radical. Zbl 1118.20021 Guralnick, Robert; Kunyavskiĭ, Boris; Plotkin, Eugene; Shalev, Aner 29 2006 Derangements in simple and primitive groups. Zbl 1036.20002 Fulman, Jason; Guralnick, Robert 28 2003 Sets of elements that pairwise generate a linear group. Zbl 1140.05033 Britnell, J. R.; Evseev, A.; Guralnick, R. M.; Holmes, P. E.; Maróti, A. 27 2008 Expansion in finite simple groups of Lie type. Zbl 1331.20060 Breuillard, Emmanuel; Green, Ben; Guralnick, Robert; Tao, Terence 26 2015 On \(p\)-singular elements in Chevalley groups in characteristic \(p\). Zbl 1001.20045 Guralnick, Robert M.; Lübeck, Frank 25 2001 Presentations of finite simple groups: profinite and cohomological approaches. Zbl 1135.20024 Guralnick, Robert; Kantor, William M.; Kassabov, Martin; Lubotzky, Alexander 25 2007 Invertible preservers and algebraic groups. Zbl 0814.15002 Guralnick, Robert M. 25 1994 Derangements in subspace actions of finite classical groups. Zbl 1431.20033 Fulman, Jason; Guralnick, Robert 24 2017 The non-coprime \(k(GV)\) problem. Zbl 1083.20006 Guralnick, Robert M.; Tiep, Pham Huu 23 2005 Decompositions of small tensor powers and Larsen’s conjecture. Zbl 1109.20040 Guralnick, Robert M.; Tiep, Pham Huu 23 2005 Strongly dense free subgroups of semisimple algebraic groups. Zbl 1266.20060 Breuillard, Emmanuel; Green, Ben; Guralnick, Robert; Tao, Terence 23 2012 Commutators and commutator subgroups. Zbl 0505.20022 Guralnick, Robert M. 23 1982 Modules for algebraic groups with finitely many orbits on subspaces. Zbl 0906.20029 Guralnick, Robert M.; Liebeck, Martin W.; Macpherson, Dugald; Seitz, Gary M. 22 1997 The first cohomology group and generation of simple groups. Zbl 0894.20039 Guralnick, Robert M.; Hoffman, Corneliu 22 1998 The probability of generating a classical group. Zbl 0820.20022 Guralnick, Robert M.; Kantor, William M.; Saxl, Jan 22 1994 Presentations of finite simple groups: a quantitative approach. Zbl 1223.20024 Guralnick, R. M.; Kantor, W. M.; Kassabov, M.; Lubotzky, A. 22 2008 Base sizes for \(\mathcal S\)-actions of finite classical groups. Zbl 1321.20002 Burness, Timothy C.; Guralnick, Robert M.; Saxl, Jan 22 2014 Normalizers of primitive permutation groups. Zbl 1414.20002 Guralnick, Robert M.; Maróti, Attila; Pyber, László 22 2017 Solvable generation of groups and Sylow subgroups of the lower central series. Zbl 0485.20012 Aschbacher, M.; Guralnick, R. 22 1982 The spread of a finite group. Zbl 1480.20081 Burness, Timothy; Guralnick, Robert; Harper, Scott 22 2021 Triangularization of sets of matrices. Zbl 0443.15006 Guralnick, Robert M. 21 1980 Alternating forms and self-adjoint operators. Zbl 1111.11022 Goldstein, Daniel; Guralnick, Robert M. 21 2007 Simple groups stabilizing polynomials. Zbl 1365.20046 Garibaldi, Skip; Guralnick, Robert M. 21 2015 Generation of simple groups. Zbl 0601.20013 Guralnick, Robert M. 21 1986 Subgroups inducing the same permutation representation. Zbl 0527.20005 Guralnick, Robert M. 21 1983 Hamiltonian cycles in the generating graphs of finite groups. Zbl 1223.20058 Breuer, T.; Guralnick, R. M.; Lucchini, A.; Maróti, A.; Nagy, G. P. 21 2010 Roth’s theorems and decomposition of modules. Zbl 0468.16022 Guralnick, Robert M. 20 1981 Derived subgroups of fixed points. Zbl 1050.20013 Guralnick, Robert; Shumyatsky, Pavel 20 2001 On fixed points of permutations. Zbl 1192.20001 Diaconis, Persi; Fulman, Jason; Guralnick, Robert 20 2008 On base sizes for algebraic groups. Zbl 1445.20002 Burness, Timothy C.; Guralnick, Robert M.; Saxl, Jan 20 2017 Exceptional covers and bijections on rational points. Zbl 1127.14023 Guralnick, Robert M.; Tucker, Thomas J.; Zieve, Michael E. 20 2007 Character levels and character bounds. Zbl 1481.20039 Guralnick, Robert M.; Larsen, Michael; Tiep, Pham Huu 20 2020 Characterizations of the solvable radical. Zbl 1202.20026 Flavell, Paul; Guest, Simon; Guralnick, Robert 19 2010 Symmetric and alternating groups as monodromy groups of Riemann surfaces. I: Generic covers and covers with many branch points. With an appendix by R. Guralnick and R. Stafford. Zbl 1140.14026 Guralnick, Robert M.; Shareshian, John 19 2007 Symmetric powers and a problem of Kollár and Larsen. Zbl 1245.20058 Guralnick, Robert M.; Tiep, Pham Huu 19 2008 Surjective word maps and Burnside’s \(p^aq^b\) theorem. Zbl 1397.20037 Guralnick, Robert M.; Liebeck, Martin W.; O’Brien, E. A.; Shalev, Aner; Tiep, Pham Huu 19 2018 Conjugacy class properties of the extension of \(\text{GL}(n,q)\) generated by the inverse transpose involution. Zbl 1065.20065 Fulman, Jason; Guralnick, Robert 19 2004 On rational and concise words. Zbl 1346.20042 Guralnick, Robert; Shumyatsky, Pavel 19 2015 On extensions of the Baer-Suzuki theorem. Zbl 0794.20029 Guralnick, Robert M.; Robinson, Geoffrey R. 18 1993 Squaring a conjugacy class and cosets of normal subgroups. Zbl 1346.20037 Guralnick, Robert; Navarro, Gabriel 18 2016 Derangements in finite classical groups for actions related to extension field and imprimitive subgroups and the solution of the Boston-Shalev conjecture. Zbl 1494.20076 Fulman, Jason; Guralnick, Robert 18 2018 Average dimension of fixed point spaces with applications. Zbl 1211.20011 Guralnick, Robert M.; Maróti, Attila 18 2011 Lifting in Frattini covers and a characterization of finite solvable groups. Zbl 1343.20022 Guralnick, Robert M.; Tiep, Pham Huu 18 2015 Bounds for fixed point free elements in a transitive group and applications to curves over finite fields. Zbl 0910.11053 Guralnick, Robert; Wan, Daqing 17 1997 Classification of \(2F\)-modules. II. Zbl 1085.20004 Guralnick, Robert M.; Malle, Gunter 17 2004 Products of conjugacy classes in finite and algebraic simple groups. Zbl 1277.20029 Guralnick, Robert M.; Malle, Gunter; Tiep, Pham Huu 17 2013 Similarity of matrices over local rings. Zbl 0478.15017 Guralnick, Robert M. 16 1981 A note on pairs of matrices with rank one commutator. Zbl 0423.15005 Guralnick, Robert M. 16 1979 On the spread of finite simple groups. Zbl 1027.20004 Guralnick, Robert M.; Shalev, Aner 16 2003 The probability of generating a finite soluble group. Zbl 1043.20047 Guralnick, R. M.; Wilson, J. S. 16 2000 First cohomology groups of Chevalley groups in cross characteristic. Zbl 1237.20039 Guralnick, Robert M.; Tiep, Pham Huu 16 2011 The automorphism groups of a family of maximal curves. Zbl 1285.11094 Guralnick, Robert; Malmskog, Beth; Pries, Rachel 16 2012 Small representations are completely reducible. Zbl 0941.20001 Guralnick, Robert M. 16 1999 Monodromy groups of polynomials. Zbl 0848.12002 Guralnick, Robert M.; Saxl, Jan 15 1995 Effective results on the Waring problem for finite simple groups. Zbl 1338.20009 Guralnick, Robert M.; Tiep, Pham Huu 15 2015 Rational rigidity for \(E_8(p)\). Zbl 1328.12007 Guralnick, Robert; Malle, Gunter 15 2014 Monodromy groups of branched coverings: The generic case. Zbl 0845.20002 Guralnick, Robert M.; Neubauer, Michael G. 14 1995 Oort groups and lifting problems. Zbl 1158.12003 Chinburg, T.; Guralnick, R.; Harbater, D. 14 2008 A new solvability criterion for finite groups. Zbl 1246.20015 Dolfi, Silvio; Guralnick, Robert M.; Herzog, Marcel; Praeger, Cheryl E. 14 2012 Pseudosimilarity and cancellation of modules. Zbl 0493.15010 Guralnick, Robert; Lanski, Charles 14 1982 The dimension of the first cohomology group. Zbl 0625.20039 Guralnick, Robert M. 13 1986 Invertible preservers and algebraic groups. III: Preservers of unitary similarity (congruence) invariants and overgroups of some unitary subgroups. Zbl 0889.20027 Guralnick, Robert M.; Li, Chi-Kwong 13 1997 Exceptional polynomials of affine type. Zbl 0911.11049 Guralnick, Robert M.; Müller, Peter 13 1997 Classification of \(2F\)-modules. I. Zbl 1017.20005 Guralnick, Robert M.; Malle, Gunter 13 2002 The genus of a module. II: Roiter’s theorem, power cancellation and extension of scalars. Zbl 0621.16007 Guralnick, Robert M. 13 1987 Representation growth in positive characteristic and conjugacy classes of maximal subgroups. Zbl 1244.20007 Guralnick, Robert M.; Larsen, Michael; Tiep, Pham Huu 13 2012 Presentations of finite simple groups: a computational approach. Zbl 1256.20008 Guralnick, R. M.; Kantor, W. M.; Kassabov, M.; Lubotzky, A. 13 2011 Matrix equivalence and isomorphism of modules. Zbl 0493.16015 Guralnick, Robert M. 13 1982 A note on the local-global principle for similarity of matrices. Zbl 0442.15009 Guralnick, Robert M. 12 1980 Some applications of subgroup structure to probabilistic generation and covers of curves. Zbl 0973.20011 Guralnick, Robert M. 12 1998 Spinors and essential dimension. Zbl 1498.11113 Garibaldi, Skip; Guralnick, Robert M. 12 2017 Monodromy groups of coverings of curves. Zbl 1071.20001 Guralnick, Robert 12 2003 The local lifting problem for actions of finite groups on curves. (Problème local de relèvement de l’action d’un groupe fini sur une courbe.) Zbl 1239.14024 Chinburg, Ted; Guralnick, Robert; Harbater, David 12 2011 Character levels and character bounds for finite classical groups. Zbl 1530.20028 Guralnick, Robert M.; Larsen, Michael; Tiep, Pham Huu 2 2024 On the maximal overgroups of Sylow subgroups of finite groups. Zbl 1537.20032 Baumeister, Barbara; Burness, Timothy C.; Guralnick, Robert M.; Tong-Viet, Hung P. 1 2024 Generic stabilizers in actions of simple algebraic groups. Zbl 07913538 Guralnick, R. M.; Lawther, R. 1 2024 On the commuting probability of \(p\)-elements in a finite group. Zbl 1517.20096 Burness, Timothy C.; Guralnick, Robert; Moretó, Alexander; Navarro, Gabriel 5 2023 On invariable generation of alternating groups by elements of prime and prime power order. Zbl 1509.20007 Guralnick, Robert M.; Shareshian, John; Woodroofe, Russ 1 2023 Finite groups can be generated by a \(\pi\)-subgroup and a \(\pi^\prime\)-subgroup. Zbl 1545.20027 Breuer, Thomas; Guralnick, Robert M. 1 2023 Fixed point ratios for finite primitive groups and applications. Zbl 1511.20010 Burness, Timothy C.; Guralnick, Robert M. 6 2022 Generic stabilizers for simple algebraic groups. Zbl 1516.14087 Garibaldi, Skip; Guralnick, Robert M. 3 2022 Real constituents of permutation characters. Zbl 1510.20010 Guralnick, Robert; Navarro, Gabriel 2 2022 Commuting involutions and elementary abelian subgroups of simple groups. Zbl 1517.20020 Guralnick, Robert M.; Robinson, Geoffrey R. 1 2022 Cohen Lenstra partitions and mutually annihilating matrices over a finite field. Zbl 1487.05022 Fulman, Jason; Guralnick, Robert 1 2022 Coprime automorphisms of finite groups. Zbl 1511.20081 Acciarri, Cristina; Guralnick, Robert M.; Shumyatsky, Pavel 1 2022 The spread of a finite group. Zbl 1480.20081 Burness, Timothy; Guralnick, Robert; Harper, Scott 22 2021 Character levels and character bounds. Zbl 1481.20039 Guralnick, Robert M.; Larsen, Michael; Tiep, Pham Huu 20 2020 Topological generation of exceptional algebraic groups. Zbl 1505.20041 Burness, Timothy C.; Gerhardt, Spencer; Guralnick, Robert M. 9 2020 Variants of some of the Brauer-Fowler theorems. Zbl 1464.20010 Guralnick, Robert M.; Robinson, Geoffrey R. 6 2020 Generically free representations. II: Irreducible representations. Zbl 1484.20076 Garibaldi, Skip; Guralnick, Robert M. 5 2020 Generically free representations. III: Extremely bad characteristic. Zbl 1484.20077 Garibaldi, Skip; Guralnick, Robert M. 5 2020 Generically free representations. I: Large representations. Zbl 1511.20184 Garibaldi, Skip; Guralnick, Robert 4 2020 Centers of Sylow subgroups and automorphisms. Zbl 1484.20038 Glauberman, George; Guralnick, Robert; Lynd, Justin; Navarro, Gabriel 3 2020 On the generalized Fitting height and insoluble length of finite groups. Zbl 1485.20059 Guralnick, Robert M.; Tracey, Gareth 2 2020 Sectional rank and cohomology. Zbl 1481.20191 Guralnick, Robert M.; Tiep, Pham Huu 2 2020 A note on abelian subgroups of maximal order. Zbl 1484.20041 Aivazidis, Stefanos; Guralnick, Robert M. 1 2020 Conjugacy classes, characters and products of elements. Zbl 1454.20009 Guralnick, Robert M.; Moretó, Alexander 6 2019 Rigid local systems and alternating groups. Zbl 1454.11217 Guralnick, Robert; Katz, Nicholas; Tiep, Pham Huu 5 2019 Zero-one generation laws for finite simple groups. Zbl 1515.20323 Guralnick, Robert M.; Liebeck, Martin W.; Lübeck, Frank; Shalev, Aner 4 2019 Permutation representations of nonsplit extensions involving alternating groups. Zbl 1454.20013 Guralnick, Robert M.; Liebeck, Martin W. 1 2019 Surjective word maps and Burnside’s \(p^aq^b\) theorem. Zbl 1397.20037 Guralnick, Robert M.; Liebeck, Martin W.; O’Brien, E. A.; Shalev, Aner; Tiep, Pham Huu 19 2018 Derangements in finite classical groups for actions related to extension field and imprimitive subgroups and the solution of the Boston-Shalev conjecture. Zbl 1494.20076 Fulman, Jason; Guralnick, Robert 18 2018 Symmetric and alternating powers of Weil representations of finite symplectic groups. Zbl 1483.20029 Guralnick, Robert M.; Magaard, Kay; Tiep, Pham Huu 8 2018 Enumeration of commuting pairs in Lie algebras over finite fields. Zbl 1395.05190 Fulman, Jason; Guralnick, Robert 6 2018 On isometry groups of self-adjoint traceless and skew-symmetric matrices. Zbl 1380.15027 Gaál, Marcell; Guralnick, Robert M. 3 2018 Derangements in subspace actions of finite classical groups. Zbl 1431.20033 Fulman, Jason; Guralnick, Robert 24 2017 Normalizers of primitive permutation groups. Zbl 1414.20002 Guralnick, Robert M.; Maróti, Attila; Pyber, László 22 2017 On base sizes for algebraic groups. Zbl 1445.20002 Burness, Timothy C.; Guralnick, Robert M.; Saxl, Jan 20 2017 Spinors and essential dimension. Zbl 1498.11113 Garibaldi, Skip; Guralnick, Robert M. 12 2017 Asymptotics of the number of involutions in finite classical groups. Zbl 1376.20055 Fulman, Jason; Guralnick, Robert; Stanton, Dennis 8 2017 Finite simple groups: thirty years of the atlas and beyond. International conference celebrating the atlases and honoring John Conway, Princeton University, Princeton, NJ, USA, November 2–5, 2015. Zbl 1372.20002 7 2017 Endomorphism fields of abelian varieties. Zbl 1441.11154 Guralnick, Robert; Kedlaya, Kiran S. 6 2017 Adequate subgroups and indecomposable modules. Zbl 1460.20003 Guralnick, Robert; Herzig, Florian; Tiep, Pham Huu 5 2017 Globally irreducible Weyl modules. Zbl 1427.20062 Garibaldi, Skip; Guralnick, Robert M.; Nakano, Daniel K. 4 2017 Global Oort groups. Zbl 1406.20007 Chinburg, Ted; Guralnick, Robert; Harbater, David 3 2017 A lower bound for the dimension of a highest weight module. Zbl 1429.17010 Goldstein, Daniel; Guralnick, Robert; Stong, Richard 2 2017 Squaring a conjugacy class and cosets of normal subgroups. Zbl 1346.20037 Guralnick, Robert; Navarro, Gabriel 18 2016 Essential dimension of algebraic groups, including bad characteristic. Zbl 1369.11029 Garibaldi, Skip; Guralnick, Robert M. 7 2016 Finite groups with odd Sylow normalizers. Zbl 1361.20018 Guralnick, Robert M.; Navarro, Gabriel; Tiep, Pham Huu 4 2016 Conjugacy classes of derangements in finite transitive groups. Zbl 1353.20001 Guralnick, Robert M. 3 2016 On the maximal number of coprime subdegrees in finite primitive permutation groups. Zbl 1398.20004 Dolfi, Silvio; Guralnick, Robert; Praeger, Cheryl E.; Spiga, Pablo 1 2016 Expansion in finite simple groups of Lie type. Zbl 1331.20060 Breuillard, Emmanuel; Green, Ben; Guralnick, Robert; Tao, Terence 26 2015 Simple groups stabilizing polynomials. Zbl 1365.20046 Garibaldi, Skip; Guralnick, Robert M. 21 2015 On rational and concise words. Zbl 1346.20042 Guralnick, Robert; Shumyatsky, Pavel 19 2015 Lifting in Frattini covers and a characterization of finite solvable groups. Zbl 1343.20022 Guralnick, Robert M.; Tiep, Pham Huu 18 2015 Effective results on the Waring problem for finite simple groups. Zbl 1338.20009 Guralnick, Robert M.; Tiep, Pham Huu 15 2015 Variations on the Baer-Suzuki theorem. Zbl 1321.20018 Guralnick, Robert; Malle, Gunter 8 2015 On a relation between the rank and the proportion of derangements in finite transitive permutation groups. Zbl 1323.20003 Guralnick, R.; Isaacs, I. M.; Spiga, P. 6 2015 Products and commutators of classes in algebraic groups. Zbl 1329.20061 Guralnick, Robert; Malle, Gunter 5 2015 Adequate groups of low degree. Zbl 1365.20008 Guralnick, Robert; Herzig, Florian; Tiep, Pham Huu 5 2015 Base sizes for \(\mathcal S\)-actions of finite classical groups. Zbl 1321.20002 Burness, Timothy C.; Guralnick, Robert M.; Saxl, Jan 22 2014 Rational rigidity for \(E_8(p)\). Zbl 1328.12007 Guralnick, Robert; Malle, Gunter 15 2014 Cosets of Sylow \(p\)-subgroups and a question of Richard Taylor. Zbl 1300.20026 Goldstein, Daniel; Guralnick, Robert 7 2014 Groups with exactly one irreducible character of degree divisible by \(p\). Zbl 1302.20010 Goldstein, Daniel; Guralnick, Robert; Lewis, Mark; Moretó, Alexander; Navarro, Gabriel; Tiep, Pham Huu 6 2014 Applications of the classification of finite simple groups. Zbl 1373.20014 Guralnick, Robert 3 2014 Products of conjugacy classes in finite and algebraic simple groups. Zbl 1277.20029 Guralnick, Robert M.; Malle, Gunter; Tiep, Pham Huu 17 2013 The number of regular semisimple conjugacy classes in the finite classical groups. Zbl 1295.20048 Fulman, Jason; Guralnick, Robert 11 2013 Coprime subdegrees for primitive permutation groups and completely reducible linear groups. Zbl 1287.20005 Dolfi, Silvio; Guralnick, Robert; Praeger, Cheryl E.; Spiga, Pablo 9 2013 On the non-coprime \(k(GV)\)-problem. Zbl 1295.20008 Guralnick, Robert M.; Maróti, Attila 3 2013 Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements. Zbl 1256.20048 Fulman, Jason; Guralnick, Robert 92 2012 On the automorphy of \(l\)-adic Galois representations with small residual image. With an appendix by Robert Guralnick, Florian Herzig, Richard Taylor and Jack Thorne. Zbl 1269.11054 Thorne, Jack 59 2012 Products of conjugacy classes and fixed point spaces. Zbl 1286.20007 Guralnick, Robert; Malle, Gunter 46 2012 Simple groups admit Beauville structures. Zbl 1255.20009 Guralnick, Robert; Malle, Gunter 43 2012 Strongly dense free subgroups of semisimple algebraic groups. Zbl 1266.20060 Breuillard, Emmanuel; Green, Ben; Guralnick, Robert; Tao, Terence 23 2012 The automorphism groups of a family of maximal curves. Zbl 1285.11094 Guralnick, Robert; Malmskog, Beth; Pries, Rachel 16 2012 A new solvability criterion for finite groups. Zbl 1246.20015 Dolfi, Silvio; Guralnick, Robert M.; Herzog, Marcel; Praeger, Cheryl E. 14 2012 Representation growth in positive characteristic and conjugacy classes of maximal subgroups. Zbl 1244.20007 Guralnick, Robert M.; Larsen, Michael; Tiep, Pham Huu 13 2012 A problem of Kollár and Larsen on finite linear groups and crepant resolutions. Zbl 1257.14013 Guralnick, Robert M.; Pham Huu Tiep 8 2012 Low degree representations of simple Lie groups. Zbl 1247.22006 Guralnick, Robert; Larsen, Michael; Manack, Corey 6 2012 Adequate subgroups. II. Zbl 1309.11048 Guralnick, Robert 4 2012 Characteristic polynomials and fixed spaces of semisimple elements. Zbl 1320.20042 Guralnick, Robert; Malle, Gunter 2 2012 Certain subgroups of Weyl groups are split. Zbl 1258.20007 Goldstein, Daniel; Guralnick, Robert M. 1 2012 On base sizes for symmetric groups. Zbl 1222.20002 Burness, Timothy C.; Guralnick, Robert M.; Saxl, Jan 45 2011 Average dimension of fixed point spaces with applications. Zbl 1211.20011 Guralnick, Robert M.; Maróti, Attila 18 2011 First cohomology groups of Chevalley groups in cross characteristic. Zbl 1237.20039 Guralnick, Robert M.; Tiep, Pham Huu 16 2011 Presentations of finite simple groups: a computational approach. Zbl 1256.20008 Guralnick, R. M.; Kantor, W. M.; Kassabov, M.; Lubotzky, A. 13 2011 The local lifting problem for actions of finite groups on curves. (Problème local de relèvement de l’action d’un groupe fini sur une courbe.) Zbl 1239.14024 Chinburg, Ted; Guralnick, Robert; Harbater, David 12 2011 Real class sizes and real character degrees. Zbl 1210.20010 Guralnick, Robert M.; Navarro, Gabriel; Tiep, Pham Huu 9 2011 On a subfactor generalization of Wall’s conjecture. Zbl 1253.46068 Guralnick, Robert; Xu, Feng 7 2011 Corrigendum to “Sets of elements that pairwise generate a linear group” [J. Comb. Theory, Ser. A 115, No.3, 442–465 (2008)]. Zbl 1223.05111 Britnell, J. R.; Evseev, A.; Guralnick, R. M.; Holmes, P. E.; Maróti, A. 5 2011 Frobenius subgroups of free profinite products. Zbl 1228.20025 Guralnick, Robert M.; Haran, Dan 3 2011 Remarks on proficient groups. Zbl 1239.20037 Guralnick, R. M.; Kantor, W. M.; Kassabov, M.; Lubotzky, A. 1 2011 Hamiltonian cycles in the generating graphs of finite groups. Zbl 1223.20058 Breuer, T.; Guralnick, R. M.; Lucchini, A.; Maróti, A.; Nagy, G. P. 21 2010 Characterizations of the solvable radical. Zbl 1202.20026 Flavell, Paul; Guest, Simon; Guralnick, Robert 19 2010 A new family of exceptional polynomials in characteristic two. Zbl 1214.12002 Guralnick, Robert M.; Rosenberg, Joel; Zieve, Michael E. 10 2010 Polynomials with \(\text{PSL}(2)\) monodromy. Zbl 1214.12003 Guralnick, Robert M.; Zieve, Michael E. 9 2010 Commutators and wreath products. Zbl 1214.20037 Guralnick, Robert M. 3 2010 Automorphic realization of residual Galois representations. Zbl 1257.11051 Guralnick, Robert; Harris, Michael; Katz, Nicholas M. 2 2010 Nil subrings of endomorphism rings of finitely generated modules over affine PI-rings. Zbl 1218.16014 Guralnick, Robert M.; Small, Lance W.; Zelmanov, Efim 1 2010 Frobenius-Schur indicators for subgroups and the Drinfel’d double of Weyl groups. Zbl 1193.16026 Guralnick, Robert; Montgomery, Susan 11 2009 Characteristic polynomials of automorphisms of hyperelliptic curves. Zbl 1184.14047 Guralnick, Robert M.; Howe, Everett W. 1 2009 Probabilistic generation of finite simple groups. II. Zbl 1181.20013 Breuer, Thomas; Guralnick, Robert M.; Kantor, William M. 46 2008 Sets of elements that pairwise generate a linear group. Zbl 1140.05033 Britnell, J. R.; Evseev, A.; Guralnick, R. M.; Holmes, P. E.; Maróti, A. 27 2008 ...and 156 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,957 Authors 156 Guralnick, Robert Michael 79 Tiep Pham Huu 77 Lucchini, Andrea 60 Shumyatsky, Pavel 43 Burness, Timothy C. 43 Shalev, Aner 42 Spiga, Pablo 39 Praeger, Cheryl Elisabeth 35 Navarro Ortega, Gabriel 32 Liebeck, Martin Walter 32 Maróti, Attila 31 Li, Caiheng 22 Detomi, Eloisa 22 Larsen, Michael Jeffrey 21 Zalesski, Alexandre Efimovich 20 Magaard, Kay 20 Morigi, Marta 19 Cameron, Peter Jephson 19 Giudici, Michael 19 Moretó, Alexander 19 Tong-Viet, Hung P. 18 Saxl, Jan 18 Yang, Yong 17 Malle, Gunter 16 Beltrán, Antonio Felip 16 O’Brien, Eamonn A. 16 Tyutyanov, Valentin Nikolaevich 14 Fulman, Jason E. 14 Kantor, William M. 14 Katz, Nicholas Michael 14 Pellegrini, Marco Antonio 13 Garibaldi, Skip 13 Kamornikov, Sergey Fedorovich 13 Li, Chi-Kwong 13 Pyber, László 12 Acciarri, Cristina 12 Garonzi, Martino 12 Harper, Scott 12 Kunyavskiĭ, Boris Èmmanuilovich 12 Lubotzky, Alexander 12 Nguyen Ngoc Hung 12 Roney-Dougal, Colva M. 11 Li, Xianhua 11 Nath, Rajat Kanti 11 Radjavi, Heydar 10 Chen, Huanyin 10 Keller, Thomas Michael 10 Plotkin, Eugene 10 Šivic, Klemen 10 Xia, Binzhou 9 Aschbacher, Michael George 9 Gordeev, Nikolai L. 9 Guest, Simon D. 9 Kassabov, Martin D. 9 Revin, Danila Olegovitch 9 Wiegand, Roger Allen 8 Ballester-Bolinches, Adolfo 8 Bonatto, Marco 8 Crestani, Eleonora 8 Garzoni, Daniele 8 Gill, Nick 8 Grechkoseeva, Mariya Aleksandrovna 8 Halasi, Zoltán 8 Kontogeorgis, Aristides I. 8 Schaeffer Fry, Amanda A. 8 Swartz, Eric 7 Bartoli, Daniele 7 Diaconis, Persi Warren 7 Du, Shaofei 7 Fang, Xingui 7 Garion, Shelly 7 Glasby, Stephen Peter 7 Khukhro, Evgeniĭ I. 7 Klingler, Lee C. 7 Kondrat’ev, Anatoliĭ Semenovich 7 Laffey, Thomas J. 7 Montanucci, Maria 7 Moscatiello, Mariapia 7 Nemmi, Daniele 7 Singh, Anupam 7 Vinroot, C. Ryan 7 Wang, Qingwen 7 Zieve, Michael E. 6 Abdollahi, Alireza 6 Bamberg, John 6 Baumeister, Barbara 6 Biswas, Arindam 6 Brooksbank, Peter A. 6 Di Martino, Lino 6 Du, Jiali 6 Felipe, María José 6 Feng, Yanquan 6 Fried, Michael David 6 Gavioli, Norberto 6 Guo, Wenbin 6 Isaacs, I. Martin 6 Jedlička, Přemysl 6 Korchmáros, Gábor 6 Lee, Melissa 6 Leedham-Green, Charles R. ...and 1,857 more Authors all top 5 Cited in 280 Serials 365 Journal of Algebra 137 Communications in Algebra 111 Linear Algebra and its Applications 82 Israel Journal of Mathematics 78 Transactions of the American Mathematical Society 64 Journal of Group Theory 54 Journal of Pure and Applied Algebra 48 Archiv der Mathematik 47 Proceedings of the American Mathematical Society 42 Advances in Mathematics 36 Finite Fields and their Applications 36 Journal of Algebra and its Applications 34 Journal of Combinatorial Theory. Series A 33 Discrete Mathematics 27 Journal of Algebraic Combinatorics 24 Linear and Multilinear Algebra 23 Bulletin of the Australian Mathematical Society 23 Monatshefte für Mathematik 22 Journal of Number Theory 20 Journal of the Australian Mathematical Society 20 Forum of Mathematics, Sigma 18 Bulletin of the London Mathematical Society 18 Mathematische Zeitschrift 18 Siberian Mathematical Journal 16 International Journal of Algebra and Computation 15 Annali di Matematica Pura ed Applicata. Serie Quarta 15 Inventiones Mathematicae 15 Memoirs of the American Mathematical Society 13 International Journal of Group Theory 12 Rocky Mountain Journal of Mathematics 12 Journal of the London Mathematical Society. Second Series 12 European Journal of Combinatorics 12 Forum Mathematicum 12 Journal of Mathematical Sciences (New York) 12 Proceedings of the Steklov Institute of Mathematics 11 Algebra and Logic 11 Duke Mathematical Journal 11 Mathematische Annalen 11 Designs, Codes and Cryptography 11 Algebra Colloquium 11 Transformation Groups 11 Groups, Geometry, and Dynamics 11 Algebraic Combinatorics 10 Glasgow Mathematical Journal 10 Mathematische Nachrichten 10 Algebra & Number Theory 9 Pacific Journal of Mathematics 9 Algebras and Representation Theory 9 Annals of Mathematics. Second Series 8 Journal für die Reine und Angewandte Mathematik 8 Bulletin of the American Mathematical Society. New Series 8 Science China. Mathematics 8 European Journal of Mathematics 7 Mathematical Notes 7 Annales de l’Institut Fourier 7 Proceedings of the London Mathematical Society. Third Series 7 Quaestiones Mathematicae 7 Rendiconti del Seminario Matematico della Università di Padova 7 Journal of the European Mathematical Society (JEMS) 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Czechoslovak Mathematical Journal 6 Journal of Combinatorial Theory. Series B 6 Manuscripta Mathematica 6 Proceedings of the Edinburgh Mathematical Society. Series II 6 Combinatorica 6 The Electronic Journal of Combinatorics 6 Ars Mathematica Contemporanea 5 Communications in Mathematical Physics 5 Journal of Functional Analysis 5 Nagoya Mathematical Journal 5 Results in Mathematics 5 Journal of Symbolic Computation 5 Journal of the American Mathematical Society 5 Geometric and Functional Analysis. GAFA 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Expositiones Mathematicae 5 Indagationes Mathematicae. New Series 5 Journal of Knot Theory and its Ramifications 5 Vietnam Journal of Mathematics 5 Bulletin of the Brazilian Mathematical Society. New Series 5 Mediterranean Journal of Mathematics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Ukrainian Mathematical Journal 4 Applied Mathematics and Computation 4 Compositio Mathematica 4 Geometriae Dedicata 4 Journal of the Mathematical Society of Japan 4 Journal of Soviet Mathematics 4 Michigan Mathematical Journal 4 Ricerche di Matematica 4 Graphs and Combinatorics 4 Revista Matemática Iberoamericana 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Acta Mathematica Sinica. English Series 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Japanese Journal of Mathematics. 3rd Series 4 Bulletin of Mathematical Sciences 4 Problemy Fiziki, Matematiki i Tekhniki 4 Forum of Mathematics, Pi 3 Beiträge zur Algebra und Geometrie ...and 180 more Serials all top 5 Cited in 52 Fields 1,536 Group theory and generalizations (20-XX) 347 Combinatorics (05-XX) 271 Number theory (11-XX) 230 Algebraic geometry (14-XX) 210 Linear and multilinear algebra; matrix theory (15-XX) 172 Associative rings and algebras (16-XX) 103 Commutative algebra (13-XX) 91 Field theory and polynomials (12-XX) 63 Nonassociative rings and algebras (17-XX) 42 Topological groups, Lie groups (22-XX) 41 Manifolds and cell complexes (57-XX) 39 Geometry (51-XX) 39 Information and communication theory, circuits (94-XX) 34 Computer science (68-XX) 31 Probability theory and stochastic processes (60-XX) 26 Operator theory (47-XX) 25 Functions of a complex variable (30-XX) 25 Quantum theory (81-XX) 20 Dynamical systems and ergodic theory (37-XX) 18 Algebraic topology (55-XX) 16 Functional analysis (46-XX) 15 Category theory; homological algebra (18-XX) 13 Mathematical logic and foundations (03-XX) 13 Order, lattices, ordered algebraic structures (06-XX) 13 Several complex variables and analytic spaces (32-XX) 11 \(K\)-theory (19-XX) 11 Global analysis, analysis on manifolds (58-XX) 9 Abstract harmonic analysis (43-XX) 9 Convex and discrete geometry (52-XX) 9 Systems theory; control (93-XX) 8 General algebraic systems (08-XX) 8 Numerical analysis (65-XX) 7 Differential geometry (53-XX) 6 General and overarching topics; collections (00-XX) 6 History and biography (01-XX) 5 Operations research, mathematical programming (90-XX) 4 Partial differential equations (35-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Biology and other natural sciences (92-XX) 3 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 General topology (54-XX) 2 Fluid mechanics (76-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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