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: 270 Publications since 1977, including 2 Books 5 Contributions as Editor · 4 Further Contributions Reviewing Activity: 68 Reviews Biographic References: 1 Publication Co-Authors: 159 Co-Authors with 222 Joint Publications 4,115 Co-Co-Authors all top 5 Co-Authors 53 single-authored 24 Tiep Pham Huu 16 Saxl, Jan 11 Malle, Gunter 10 Fulman, Jason E. 9 Navarro, Gabriel 8 Burness, Timothy C. 8 Garibaldi, Skip 7 Kantor, William M. 7 Liebeck, Martin Walter 7 Praeger, Cheryl Elisabeth 6 Estes, Dennis Ray 6 Magaard, Kay 6 Maróti, Attila 6 Shalev, Aner 6 Wiegand, Roger Allen 5 Robinson, Geoffrey Raymond 4 Aschbacher, Michael George 4 Harbater, David 4 Kassabov, Martin 4 Levy, Lawrence S. 4 Lubotzky, Alexander 4 Shumyatsky, Pavel 4 Zieve, Michael E. 3 Bass, Hyman 3 Chinburg, Ted 3 Dolfi, Silvio 3 Herzig, Florian 3 Isaacs, I. Martin 3 Larsen, Michael Jeffrey 3 Lübeck, Frank 3 Miller, Michael D. 3 Montgomery, Susan 3 Moretó, Alexander 3 Schacher, Murray M. 3 Shareshian, John 3 Small, Lance W. 3 Spiga, Pablo 3 Zel’manov, Efim Isaakovich 2 Acciarri, Cristina 2 Breuer, Thomas 2 Breuillard, Emmanuel 2 Britnell, John R. 2 Etingof, Pavel Il’ich 2 Evseev, Anton 2 Frohardt, Daniel E. 2 Gaál, Marcell 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 Seitz, Gary M. 2 Tao, Terence 2 Testerman, Donna M. 1 Adkins, William A. 1 Aivazidis, Stefanos 1 Alladi, Krishnaswami 1 Andrews, George Eyre 1 Barnea, Yiftach 1 Bending, Peter 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 Colliot-Thélène, Jean-Louis 1 del Río, Angel 1 Diaconis, Persi Warren 1 Evard, Jean-Claude 1 Fein, Burton 1 Flavell, Paul 1 Fried, Michael David 1 Frohardt, Dan 1 Gelaki, Shlomo 1 Gerhardt, Spencer 1 Gille, Philippe 1 Glauberman, George 1 Gonçalves, Jairo Zacarias 1 Gordon, Basil 1 Grunenfelder, Luzius 1 Guest, Simon D. 1 Gupta, Ram Niwas 1 Haran, Dan 1 Harper, Scott 1 Harris, Michael Howard 1 Herzog, Marcel 1 Hoàng Xuân Phù 1 Hoffman, Corneliu G. 1 Jaffe, David B. 1 Joyner, David 1 Kedlaya, Kiran Sridhara 1 Kimmerle, Wolfgang ...and 64 more Co-Authors all top 5 Serials 53 Journal of Algebra 19 Linear Algebra and its Applications 16 Proceedings of the American Mathematical Society 10 Israel Journal of Mathematics 10 Transactions of the American Mathematical Society 9 Linear and Multilinear Algebra 8 Advances in Mathematics 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 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 4 Algebra & Number Theory 3 Archiv der Mathematik 3 Compositio Mathematica 3 Glasgow Mathematical Journal 3 Transformation Groups 3 Journal of Group Theory 2 Rocky Mountain Journal of Mathematics 2 Illinois Journal of Mathematics 2 Inventiones Mathematicae 2 Journal of the London Mathematical Society. Second Series 2 Memoirs of the American Mathematical Society 2 Journal of the American Mathematical Society 2 Bulletin of the American Mathematical Society. New Series 2 Notices of the American Mathematical Society 2 Indagationes Mathematicae. New Series 2 Representation Theory 2 Vietnam Journal of Mathematics 2 Groups, Geometry, and Dynamics 2 Forum of Mathematics, Pi 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 European Journal of Mathematics 1 Research in Number Theory 1 Tunisian Journal of Mathematics all top 5 Fields 191 Group theory and generalizations (20-XX) 39 Algebraic geometry (14-XX) 38 Linear and multilinear algebra; matrix theory (15-XX) 36 Associative rings and algebras (16-XX) 34 Number theory (11-XX) 26 Field theory and polynomials (12-XX) 20 Commutative algebra (13-XX) 13 Combinatorics (05-XX) 9 Nonassociative rings and algebras (17-XX) 8 General and overarching topics; collections (00-XX) 8 Topological groups, Lie groups (22-XX) 8 Functions of a complex variable (30-XX) 5 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 246 Publications have been cited 3,226 times in 2,025 Documents Cited by ▼ Year ▼ Subgroups of prime power index in a simple group. Zbl 0515.20011Guralnick, Robert M. 196 1983 Some applications of the first cohomology group. Zbl 0554.20017Aschbacher, M.; Guralnick, R. 120 1984 Probabilistic generation of finite simple groups. Zbl 0973.20012Guralnick, Robert M.; Kantor, William M. 98 2000 Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements. Zbl 1256.20048Fulman, Jason; Guralnick, Robert 81 2012 On the commuting probability in finite groups. Zbl 1100.20045Guralnick, Robert M.; Robinson, Geoffrey R. 72 2006 Generation of finite almost simple groups by conjugates. Zbl 1037.20016Guralnick, Robert M.; Saxl, Jan 66 2003 Linear groups with orders having certain large prime divisors. Zbl 1041.20035Guralnick, Robert; Penttila, Tim; Praeger, Cheryl E.; Saxl, Jan 66 1999 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 1269.11054Thorne, Jack 49 2012 A note on commuting pairs of matrices. Zbl 0754.15011Guralnick, Robert M. 48 1992 Cross characteristic representations of symplectic and unitary groups. Zbl 1025.20002Guralnick, Robert M.; Magaard, Kay; Saxl, Jan; Pham Huu Tiep 46 2002 On the minimal degree of a primitive permutation group. Zbl 0911.20003Guralnick, Robert; Magaard, Kay 46 1998 Products of conjugacy classes and fixed point spaces. Zbl 1286.20007Guralnick, Robert; Malle, Gunter 42 2012 Indecomposable set-theoretical solutions to the quantum Yang-Baxter equation on a set with a prime number of elements. Zbl 1018.17007Etingof, Pavel; Soloviev, Alexander; Guralnick, Robert 41 2001 Probabilistic generation of finite simple groups. II. Zbl 1181.20013Breuer, Thomas; Guralnick, Robert M.; Kantor, William M. 40 2008 On base sizes for symmetric groups. Zbl 1222.20002Burness, Timothy C.; Guralnick, Robert M.; Saxl, Jan 38 2011 Schur covers and Carlitz’s conjecture. Zbl 0855.11063Fried, Michael D.; Guralnick, Robert; Saxl, Jan 38 1993 Cross characteristic representations of even characteristic symplectic groups. Zbl 1062.20013Guralnick, Robert M.; Pham Huu Tiep 37 2004 Simple groups admit Beauville structures. Zbl 1255.20009Guralnick, Robert; Malle, Gunter 37 2012 Module equivalences: Local to global. When primitive polynomials represent units. Zbl 0492.13005Estes, Dennis R.; Guralnick, Robert M. 35 1982 Finite simple unisingular groups of Lie type. Zbl 1046.20013Guralnick, Robert M.; Pham Huu Tiep 29 2003 On the number of generators of a finite group. Zbl 0675.20026Guralnick, Robert M. 28 1989 On Abelian quotients of primitive groups. Zbl 0679.20001Aschbacher, Michael; Guralnick, Robert M. 27 1989 Finite groups of genus zero. Zbl 0713.20011Guralnick, Robert M.; Thompson, John G. 27 1990 Commuting pairs and triples of matrices and related varieties. Zbl 0971.15007Guralnick, Robert M.; Sethuraman, B. A. 27 2000 Derangements in simple and primitive groups. Zbl 1036.20002Fulman, Jason; Guralnick, Robert 26 2003 The rational function analogue of a question of Schur and exceptionality of permutation representations. Zbl 1082.12004Guralnick, Robert M.; Müller, Peter; Saxl, Jan 26 2003 Self-normalizing Sylow subgroups. Zbl 1049.20010Guralnick, Robert M.; Malle, Gunter; Navarro, Gabriel 26 2004 Thompson-like characterizations of the solvable radical. Zbl 1118.20021Guralnick, Robert; Kunyavskiĭ, Boris; Plotkin, Eugene; Shalev, Aner 25 2006 Presentations of finite simple groups: profinite and cohomological approaches. Zbl 1135.20024Guralnick, Robert; Kantor, William M.; Kassabov, Martin; Lubotzky, Alexander 24 2007 On \(p\)-singular elements in Chevalley groups in characteristic \(p\). Zbl 1001.20045Guralnick, Robert M.; Lübeck, Frank 24 2001 Sets of elements that pairwise generate a linear group. Zbl 1140.05033Britnell, J. R.; Evseev, A.; Guralnick, R. M.; Holmes, P. E.; Maróti, A. 22 2008 Commutators and commutator subgroups. Zbl 0505.20022Guralnick, Robert M. 22 1982 Presentations of finite simple groups: a quantitative approach. Zbl 1223.20024Guralnick, R. M.; Kantor, W. M.; Kassabov, M.; Lubotzky, A. 22 2008 Strongly dense free subgroups of semisimple algebraic groups. Zbl 1266.20060Breuillard, Emmanuel; Green, Ben; Guralnick, Robert; Tao, Terence 22 2012 Decompositions of small tensor powers and Larsen’s conjecture. Zbl 1109.20040Guralnick, Robert M.; Tiep, Pham Huu 22 2005 Modules for algebraic groups with finitely many orbits on subspaces. Zbl 0906.20029Guralnick, Robert M.; Liebeck, Martin W.; Macpherson, Dugald; Seitz, Gary M. 21 1997 Expansion in finite simple groups of Lie type. Zbl 1331.20060Breuillard, Emmanuel; Green, Ben; Guralnick, Robert; Tao, Terence 21 2015 Triangularization of sets of matrices. Zbl 0443.15006Guralnick, Robert M. 21 1980 The probability of generating a classical group. Zbl 0820.20022Guralnick, Robert M.; Kantor, William M.; Saxl, Jan 21 1994 Invertible preservers and algebraic groups. Zbl 0814.15002Guralnick, Robert M. 21 1994 Subgroups inducing the same permutation representation. Zbl 0527.20005Guralnick, Robert M. 21 1983 Base sizes for \(\mathcal S\)-actions of finite classical groups. Zbl 1321.20002Burness, Timothy C.; Guralnick, Robert M.; Saxl, Jan 21 2014 Alternating forms and self-adjoint operators. Zbl 1111.11022Goldstein, Daniel; Guralnick, Robert M. 21 2007 The non-coprime \(k(GV)\) problem. Zbl 1083.20006Guralnick, Robert M.; Tiep, Pham Huu 21 2005 Derangements in subspace actions of finite classical groups. Zbl 1431.20033Fulman, Jason; Guralnick, Robert 20 2017 The first cohomology group and generation of simple groups. Zbl 0894.20039Guralnick, Robert M.; Hoffman, Corneliu 20 1998 Derived subgroups of fixed points. Zbl 1050.20013Guralnick, Robert; Shumyatsky, Pavel 20 2001 Roth’s theorems and decomposition of modules. Zbl 0468.16022Guralnick, Robert M. 20 1981 Normalizers of primitive permutation groups. Zbl 1414.20002Guralnick, Robert M.; Maróti, Attila; Pyber, László 20 2017 Solvable generation of groups and Sylow subgroups of the lower central series. Zbl 0485.20012Aschbacher, M.; Guralnick, R. 19 1982 Hamiltonian cycles in the generating graphs of finite groups. Zbl 1223.20058Breuer, T.; Guralnick, R. M.; Lucchini, A.; Maróti, A.; Nagy, G. P. 19 2010 Exceptional covers and bijections on rational points. Zbl 1127.14023Guralnick, Robert M.; Tucker, Thomas J.; Zieve, Michael E. 19 2007 On base sizes for algebraic groups. Zbl 1445.20002Burness, Timothy C.; Guralnick, Robert M.; Saxl, Jan 19 2017 Generation of simple groups. Zbl 0601.20013Guralnick, Robert M. 18 1986 On fixed points of permutations. Zbl 1192.20001Diaconis, Persi; Fulman, Jason; Guralnick, Robert 18 2008 Simple groups stabilizing polynomials. Zbl 1365.20046Garibaldi, Skip; Guralnick, Robert M. 17 2015 Bounds for fixed point free elements in a transitive group and applications to curves over finite fields. Zbl 0910.11053Guralnick, Robert; Wan, Daqing 17 1997 Symmetric powers and a problem of Kollár and Larsen. Zbl 1245.20058Guralnick, Robert M.; Tiep, Pham Huu 17 2008 Conjugacy class properties of the extension of \(\text{GL}(n,q)\) generated by the inverse transpose involution. Zbl 1065.20065Fulman, Jason; Guralnick, Robert 17 2004 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 1140.14026Guralnick, Robert M.; Shareshian, John 17 2007 Average dimension of fixed point spaces with applications. Zbl 1211.20011Guralnick, Robert M.; Maróti, Attila 16 2011 A note on pairs of matrices with rank one commutator. Zbl 0423.15005Guralnick, Robert M. 16 1979 Characterizations of the solvable radical. Zbl 1202.20026Flavell, Paul; Guest, Simon; Guralnick, Robert 16 2010 Small representations are completely reducible. Zbl 0941.20001Guralnick, Robert M. 16 1999 Classification of \(2F\)-modules. II. Zbl 1085.20004Guralnick, Robert M.; Malle, Gunter 16 2004 On the spread of finite simple groups. Zbl 1027.20004Guralnick, Robert M.; Shalev, Aner 16 2003 First cohomology groups of Chevalley groups in cross characteristic. Zbl 1237.20039Guralnick, Robert M.; Tiep, Pham Huu 15 2011 Similarity of matrices over local rings. Zbl 0478.15017Guralnick, Robert M. 15 1981 On rational and concise words. Zbl 1346.20042Guralnick, Robert; Shumyatsky, Pavel 15 2015 The probability of generating a finite soluble group. Zbl 1043.20047Guralnick, R. M.; Wilson, J. S. 15 2000 Monodromy groups of polynomials. Zbl 0848.12002Guralnick, Robert M.; Saxl, Jan 15 1995 Squaring a conjugacy class and cosets of normal subgroups. Zbl 1346.20037Guralnick, Robert; Navarro, Gabriel 15 2016 Rational rigidity for \(E_8(p)\). Zbl 1328.12007Guralnick, Robert; Malle, Gunter 15 2014 On extensions of the Baer-Suzuki theorem. Zbl 0794.20029Guralnick, Robert M.; Robinson, Geoffrey R. 14 1993 The automorphism groups of a family of maximal curves. Zbl 1285.11094Guralnick, Robert; Malmskog, Beth; Pries, Rachel 14 2012 Derangements in finite classical groups for actions related to extension field and imprimitive subgroups and the solution of the Boston-Shalev conjecture. Zbl 1494.20076Fulman, Jason; Guralnick, Robert 14 2018 The genus of a module. II: Roiter’s theorem, power cancellation and extension of scalars. Zbl 0621.16007Guralnick, Robert M. 13 1987 Invertible preservers and algebraic groups. III: Preservers of unitary similarity (congruence) invariants and overgroups of some unitary subgroups. Zbl 0889.20027Guralnick, Robert M.; Li, Chi-Kwong 13 1997 Lifting in Frattini covers and a characterization of finite solvable groups. Zbl 1343.20022Guralnick, Robert M.; Tiep, Pham Huu 13 2015 Oort groups and lifting problems. Zbl 1158.12003Chinburg, T.; Guralnick, R.; Harbater, D. 13 2008 Pseudosimilarity and cancellation of modules. Zbl 0493.15010Guralnick, Robert; Lanski, Charles 13 1982 Matrix equivalence and isomorphism of modules. Zbl 0493.16015Guralnick, Robert M. 13 1982 Low-dimensional representations of special linear groups in cross characteristics. Zbl 0974.20014Guralnick, Robert M.; Pham Huu Tiep 13 1999 Monodromy groups of branched coverings: The generic case. Zbl 0845.20002Guralnick, Robert M.; Neubauer, Michael G. 12 1995 Effective results on the Waring problem for finite simple groups. Zbl 1338.20009Guralnick, Robert M.; Tiep, Pham Huu 12 2015 A note on the local-global principle for similarity of matrices. Zbl 0442.15009Guralnick, Robert M. 12 1980 Products of conjugacy classes in finite and algebraic simple groups. Zbl 1277.20029Guralnick, Robert M.; Malle, Gunter; Tiep, Pham Huu 12 2013 Classification of \(2F\)-modules. I. Zbl 1017.20005Guralnick, Robert M.; Malle, Gunter 12 2002 Some applications of subgroup structure to probabilistic generation and covers of curves. Zbl 0973.20011Guralnick, Robert M. 12 1998 Character levels and character bounds. Zbl 1481.20039Guralnick, Robert M.; Larsen, Michael; Tiep, Pham Huu 12 2020 Monodromy groups of coverings of curves. Zbl 1071.20001Guralnick, Robert 12 2003 The spread of a finite group. Zbl 1480.20081Burness, Timothy; Guralnick, Robert; Harper, Scott 12 2021 A new solvability criterion for finite groups. Zbl 1246.20015Dolfi, Silvio; Guralnick, Robert M.; Herzog, Marcel; Praeger, Cheryl E. 12 2012 Polynomial rings over Goldie rings are often Goldie. Zbl 0608.16020Camillo, Victor; Guralnick, Robert 11 1986 Spinors and essential dimension. Zbl 1498.11113Garibaldi, Skip; Guralnick, Robert M. 11 2017 Lifting homomorphisms of modules. Zbl 0558.16003Guralnick, Robert M. 11 1985 Roth’s theorems for sets of matrices. Zbl 0584.15006Guralnick, Robert M. 11 1985 Representation growth in positive characteristic and conjugacy classes of maximal subgroups. Zbl 1244.20007Guralnick, Robert M.; Larsen, Michael; Tiep, Pham Huu 11 2012 Presentations of finite simple groups: a computational approach. Zbl 1256.20008Guralnick, R. M.; Kantor, W. M.; Kassabov, M.; Lubotzky, A. 11 2011 Frobenius-Schur indicators for subgroups and the Drinfel’d double of Weyl groups. Zbl 1193.16026Guralnick, Robert; Montgomery, Susan 11 2009 On the commuting probability of \(p\)-elements in a finite group. Zbl 1517.20096Burness, Timothy C.; Guralnick, Robert; Moretó, Alexander; Navarro, Gabriel 1 2023 Coprime automorphisms of finite groups. Zbl 1511.20081Acciarri, Cristina; Guralnick, Robert M.; Shumyatsky, Pavel 1 2022 Real constituents of permutation characters. Zbl 1510.20010Guralnick, Robert; Navarro, Gabriel 1 2022 Generic stabilizers for simple algebraic groups. Zbl 1516.14087Garibaldi, Skip; Guralnick, Robert M. 1 2022 Fixed point ratios for finite primitive groups and applications. Zbl 1511.20010Burness, Timothy C.; Guralnick, Robert M. 1 2022 The spread of a finite group. Zbl 1480.20081Burness, Timothy; Guralnick, Robert; Harper, Scott 12 2021 Character levels and character bounds. Zbl 1481.20039Guralnick, Robert M.; Larsen, Michael; Tiep, Pham Huu 12 2020 Topological generation of exceptional algebraic groups. Zbl 1505.20041Burness, Timothy C.; Gerhardt, Spencer; Guralnick, Robert M. 6 2020 Generically free representations. II: Irreducible representations. Zbl 1484.20076Garibaldi, Skip; Guralnick, Robert M. 4 2020 Generically free representations. III: Extremely bad characteristic. Zbl 1484.20077Garibaldi, Skip; Guralnick, Robert M. 4 2020 Generically free representations. I: Large representations. Zbl 1511.20184Garibaldi, Skip; Guralnick, Robert 4 2020 Variants of some of the Brauer-Fowler theorems. Zbl 1464.20010Guralnick, Robert M.; Robinson, Geoffrey R. 3 2020 Sectional rank and cohomology. Zbl 1481.20191Guralnick, Robert M.; Tiep, Pham Huu 2 2020 Centers of Sylow subgroups and automorphisms. Zbl 1484.20038Glauberman, George; Guralnick, Robert; Lynd, Justin; Navarro, Gabriel 2 2020 On the generalized Fitting height and insoluble length of finite groups. Zbl 1485.20059Guralnick, Robert M.; Tracey, Gareth 1 2020 A note on abelian subgroups of maximal order. Zbl 1484.20041Aivazidis, Stefanos; Guralnick, Robert M. 1 2020 Rigid local systems and alternating groups. Zbl 1454.11217Guralnick, Robert; Katz, Nicholas; Tiep, Pham Huu 5 2019 Conjugacy classes, characters and products of elements. Zbl 1454.20009Guralnick, Robert M.; Moretó, Alexander 4 2019 Zero-one generation laws for finite simple groups. Zbl 1515.20323Guralnick, Robert M.; Liebeck, Martin W.; Lübeck, Frank; Shalev, Aner 3 2019 Permutation representations of nonsplit extensions involving alternating groups. Zbl 1454.20013Guralnick, Robert M.; Liebeck, Martin W. 1 2019 Derangements in finite classical groups for actions related to extension field and imprimitive subgroups and the solution of the Boston-Shalev conjecture. Zbl 1494.20076Fulman, Jason; Guralnick, Robert 14 2018 Surjective word maps and Burnside’s \(p^aq^b\) theorem. Zbl 1397.20037Guralnick, Robert M.; Liebeck, Martin W.; O’Brien, E. A.; Shalev, Aner; Tiep, Pham Huu 11 2018 Enumeration of commuting pairs in Lie algebras over finite fields. Zbl 1395.05190Fulman, Jason; Guralnick, Robert 6 2018 Symmetric and alternating powers of Weil representations of finite symplectic groups. Zbl 1483.20029Guralnick, Robert M.; Magaard, Kay; Tiep, Pham Huu 6 2018 On isometry groups of self-adjoint traceless and skew-symmetric matrices. Zbl 1380.15027Gaál, Marcell; Guralnick, Robert M. 3 2018 Derangements in subspace actions of finite classical groups. Zbl 1431.20033Fulman, Jason; Guralnick, Robert 20 2017 Normalizers of primitive permutation groups. Zbl 1414.20002Guralnick, Robert M.; Maróti, Attila; Pyber, László 20 2017 On base sizes for algebraic groups. Zbl 1445.20002Burness, Timothy C.; Guralnick, Robert M.; Saxl, Jan 19 2017 Spinors and essential dimension. Zbl 1498.11113Garibaldi, Skip; Guralnick, Robert M. 11 2017 Asymptotics of the number of involutions in finite classical groups. Zbl 1376.20055Fulman, 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 6 2017 Endomorphism fields of abelian varieties. Zbl 1441.11154Guralnick, Robert; Kedlaya, Kiran S. 5 2017 Adequate subgroups and indecomposable modules. Zbl 1460.20003Guralnick, Robert; Herzig, Florian; Tiep, Pham Huu 5 2017 Global Oort groups. Zbl 1406.20007Chinburg, Ted; Guralnick, Robert; Harbater, David 2 2017 Globally irreducible Weyl modules. Zbl 1427.20062Garibaldi, Skip; Guralnick, Robert M.; Nakano, Daniel K. 2 2017 A lower bound for the dimension of a highest weight module. Zbl 1429.17010Goldstein, Daniel; Guralnick, Robert; Stong, Richard 1 2017 Squaring a conjugacy class and cosets of normal subgroups. Zbl 1346.20037Guralnick, Robert; Navarro, Gabriel 15 2016 Essential dimension of algebraic groups, including bad characteristic. Zbl 1369.11029Garibaldi, Skip; Guralnick, Robert M. 7 2016 Finite groups with odd Sylow normalizers. Zbl 1361.20018Guralnick, Robert M.; Navarro, Gabriel; Tiep, Pham Huu 4 2016 Conjugacy classes of derangements in finite transitive groups. Zbl 1353.20001Guralnick, Robert M. 2 2016 On the maximal number of coprime subdegrees in finite primitive permutation groups. Zbl 1398.20004Dolfi, Silvio; Guralnick, Robert; Praeger, Cheryl E.; Spiga, Pablo 1 2016 Expansion in finite simple groups of Lie type. Zbl 1331.20060Breuillard, Emmanuel; Green, Ben; Guralnick, Robert; Tao, Terence 21 2015 Simple groups stabilizing polynomials. Zbl 1365.20046Garibaldi, Skip; Guralnick, Robert M. 17 2015 On rational and concise words. Zbl 1346.20042Guralnick, Robert; Shumyatsky, Pavel 15 2015 Lifting in Frattini covers and a characterization of finite solvable groups. Zbl 1343.20022Guralnick, Robert M.; Tiep, Pham Huu 13 2015 Effective results on the Waring problem for finite simple groups. Zbl 1338.20009Guralnick, Robert M.; Tiep, Pham Huu 12 2015 Adequate groups of low degree. Zbl 1365.20008Guralnick, Robert; Herzig, Florian; Tiep, Pham Huu 5 2015 Variations on the Baer-Suzuki theorem. Zbl 1321.20018Guralnick, Robert; Malle, Gunter 5 2015 Products and commutators of classes in algebraic groups. Zbl 1329.20061Guralnick, Robert; Malle, Gunter 5 2015 On a relation between the rank and the proportion of derangements in finite transitive permutation groups. Zbl 1323.20003Guralnick, R.; Isaacs, I. M.; Spiga, P. 4 2015 Base sizes for \(\mathcal S\)-actions of finite classical groups. Zbl 1321.20002Burness, Timothy C.; Guralnick, Robert M.; Saxl, Jan 21 2014 Rational rigidity for \(E_8(p)\). Zbl 1328.12007Guralnick, Robert; Malle, Gunter 15 2014 Cosets of Sylow \(p\)-subgroups and a question of Richard Taylor. Zbl 1300.20026Goldstein, Daniel; Guralnick, Robert 6 2014 Groups with exactly one irreducible character of degree divisible by \(p\). Zbl 1302.20010Goldstein, Daniel; Guralnick, Robert; Lewis, Mark; Moretó, Alexander; Navarro, Gabriel; Tiep, Pham Huu 4 2014 Applications of the classification of finite simple groups. Zbl 1373.20014Guralnick, Robert 2 2014 Products of conjugacy classes in finite and algebraic simple groups. Zbl 1277.20029Guralnick, Robert M.; Malle, Gunter; Tiep, Pham Huu 12 2013 Coprime subdegrees for primitive permutation groups and completely reducible linear groups. Zbl 1287.20005Dolfi, Silvio; Guralnick, Robert; Praeger, Cheryl E.; Spiga, Pablo 8 2013 The number of regular semisimple conjugacy classes in the finite classical groups. Zbl 1295.20048Fulman, Jason; Guralnick, Robert 8 2013 On the non-coprime \(k(GV)\)-problem. Zbl 1295.20008Guralnick, Robert M.; Maróti, Attila 2 2013 Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements. Zbl 1256.20048Fulman, Jason; Guralnick, Robert 81 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 1269.11054Thorne, Jack 49 2012 Products of conjugacy classes and fixed point spaces. Zbl 1286.20007Guralnick, Robert; Malle, Gunter 42 2012 Simple groups admit Beauville structures. Zbl 1255.20009Guralnick, Robert; Malle, Gunter 37 2012 Strongly dense free subgroups of semisimple algebraic groups. Zbl 1266.20060Breuillard, Emmanuel; Green, Ben; Guralnick, Robert; Tao, Terence 22 2012 The automorphism groups of a family of maximal curves. Zbl 1285.11094Guralnick, Robert; Malmskog, Beth; Pries, Rachel 14 2012 A new solvability criterion for finite groups. Zbl 1246.20015Dolfi, Silvio; Guralnick, Robert M.; Herzog, Marcel; Praeger, Cheryl E. 12 2012 Representation growth in positive characteristic and conjugacy classes of maximal subgroups. Zbl 1244.20007Guralnick, Robert M.; Larsen, Michael; Tiep, Pham Huu 11 2012 A problem of Kollár and Larsen on finite linear groups and crepant resolutions. Zbl 1257.14013Guralnick, Robert M.; Pham Huu Tiep 6 2012 Low degree representations of simple Lie groups. Zbl 1247.22006Guralnick, Robert; Larsen, Michael; Manack, Corey 5 2012 Adequate subgroups. II. Zbl 1309.11048Guralnick, Robert 4 2012 Characteristic polynomials and fixed spaces of semisimple elements. Zbl 1320.20042Guralnick, Robert; Malle, Gunter 2 2012 Certain subgroups of Weyl groups are split. Zbl 1258.20007Goldstein, Daniel; Guralnick, Robert M. 1 2012 On base sizes for symmetric groups. Zbl 1222.20002Burness, Timothy C.; Guralnick, Robert M.; Saxl, Jan 38 2011 Average dimension of fixed point spaces with applications. Zbl 1211.20011Guralnick, Robert M.; Maróti, Attila 16 2011 First cohomology groups of Chevalley groups in cross characteristic. Zbl 1237.20039Guralnick, Robert M.; Tiep, Pham Huu 15 2011 Presentations of finite simple groups: a computational approach. Zbl 1256.20008Guralnick, R. M.; Kantor, W. M.; Kassabov, M.; Lubotzky, A. 11 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 1239.14024Chinburg, Ted; Guralnick, Robert; Harbater, David 11 2011 Real class sizes and real character degrees. Zbl 1210.20010Guralnick, Robert M.; Navarro, Gabriel; Tiep, Pham Huu 9 2011 On a subfactor generalization of Wall’s conjecture. Zbl 1253.46068Guralnick, 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 1223.05111Britnell, J. R.; Evseev, A.; Guralnick, R. M.; Holmes, P. E.; Maróti, A. 3 2011 Frobenius subgroups of free profinite products. Zbl 1228.20025Guralnick, Robert M.; Haran, Dan 2 2011 Remarks on proficient groups. Zbl 1239.20037Guralnick, R. M.; Kantor, W. M.; Kassabov, M.; Lubotzky, A. 1 2011 Hamiltonian cycles in the generating graphs of finite groups. Zbl 1223.20058Breuer, T.; Guralnick, R. M.; Lucchini, A.; Maróti, A.; Nagy, G. P. 19 2010 Characterizations of the solvable radical. Zbl 1202.20026Flavell, Paul; Guest, Simon; Guralnick, Robert 16 2010 A new family of exceptional polynomials in characteristic two. Zbl 1214.12002Guralnick, Robert M.; Rosenberg, Joel; Zieve, Michael E. 10 2010 Polynomials with \(\text{PSL}(2)\) monodromy. Zbl 1214.12003Guralnick, Robert M.; Zieve, Michael E. 9 2010 Commutators and wreath products. Zbl 1214.20037Guralnick, Robert M. 3 2010 Automorphic realization of residual Galois representations. Zbl 1257.11051Guralnick, Robert; Harris, Michael; Katz, Nicholas M. 2 2010 Nil subrings of endomorphism rings of finitely generated modules over affine PI-rings. Zbl 1218.16014Guralnick, Robert M.; Small, Lance W.; Zelmanov, Efim 1 2010 Frobenius-Schur indicators for subgroups and the Drinfel’d double of Weyl groups. Zbl 1193.16026Guralnick, Robert; Montgomery, Susan 11 2009 Probabilistic generation of finite simple groups. II. Zbl 1181.20013Breuer, Thomas; Guralnick, Robert M.; Kantor, William M. 40 2008 Sets of elements that pairwise generate a linear group. Zbl 1140.05033Britnell, J. R.; Evseev, A.; Guralnick, R. M.; Holmes, P. E.; Maróti, A. 22 2008 Presentations of finite simple groups: a quantitative approach. Zbl 1223.20024Guralnick, R. M.; Kantor, W. M.; Kassabov, M.; Lubotzky, A. 22 2008 On fixed points of permutations. Zbl 1192.20001Diaconis, Persi; Fulman, Jason; Guralnick, Robert 18 2008 Symmetric powers and a problem of Kollár and Larsen. Zbl 1245.20058Guralnick, Robert M.; Tiep, Pham Huu 17 2008 Oort groups and lifting problems. Zbl 1158.12003Chinburg, T.; Guralnick, R.; Harbater, D. 13 2008 Nonisomorphic curves that become isomorphic over extensions of coprime degrees. Zbl 1160.14020Goldstein, Daniel; Guralnick, Robert M.; Howe, Everett W.; Zieve, Michael E. 3 2008 Addendum to paper “On the commuting probability in finite groups”. Zbl 1176.20067Guralnick, R. M.; Robinson, G. R. 3 2008 Frobenius groups as monodromy groups. Zbl 1195.14040Guralnick, Robert M. 2 2008 Presentations of finite simple groups: profinite and cohomological approaches. Zbl 1135.20024Guralnick, Robert; Kantor, William M.; Kassabov, Martin; Lubotzky, Alexander 24 2007 ...and 146 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,805 Authors 144 Guralnick, Robert Michael 71 Lucchini, Andrea 71 Tiep Pham Huu 55 Shumyatsky, Pavel 41 Burness, Timothy C. 39 Shalev, Aner 36 Praeger, Cheryl Elisabeth 36 Spiga, Pablo 31 Li, Caiheng 30 Liebeck, Martin Walter 30 Maróti, Attila 28 Navarro, Gabriel 21 Detomi, Eloisa 20 Magaard, Kay 19 Morigi, Marta 18 Saxl, Jan 18 Yang, Yong 18 Zalesski, Alexandre Efimovich 17 Giudici, Michael 17 Moretó, Alexander 17 Tong-Viet, Hung P. 16 Larsen, Michael Jeffrey 15 Malle, Gunter 15 O’Brien, Eamonn A. 14 Kantor, William M. 13 Beltrán, Antonio Felip 13 Cameron, Peter Jephson 13 Pellegrini, Marco Antonio 12 Fulman, Jason E. 12 Kunyavskiĭ, Boris Èmmanuilovich 12 Li, Chi-Kwong 12 Pyber, László 12 Tyutyanov, Valentin Nikolaevich 11 Acciarri, Cristina 11 Garibaldi, Skip 11 Garonzi, Martino 11 Li, Xianhua 11 Lubotzky, Alexander 11 Nguyen Ngoc Hung 11 Radjavi, Heydar 10 Chen, Huanyin 10 Katz, Nicholas Michael 10 Roney-Dougal, Colva M. 10 Xia, Binzhou 9 Aschbacher, Michael George 9 Gordeev, Nikolai L. 9 Guest, Simon D. 9 Harper, Scott 9 Kamornikov, Sergey Fedorovich 9 Kassabov, Martin 9 Šivic, Klemen 9 Wiegand, Roger Allen 8 Bonatto, Marco 8 Crestani, Eleonora 8 Keller, Thomas Michael 8 Schaeffer Fry, Amanda A. 7 Ballester-Bolinches, Adolfo 7 Bartoli, Daniele 7 Diaconis, Persi Warren 7 Du, Shaofei 7 Fang, Xingui 7 Garzoni, Daniele 7 Gill, Nick 7 Grechkoseeva, Mariya Aleksandrovna 7 Halasi, Zoltán 7 Klingler, Lee C. 7 Kondrat’ev, Anatoliĭ Semenovich 7 Kontogeorgis, Aristides I. 7 Laffey, Thomas J. 7 Nath, Rajat Kanti 7 Nemmi, Daniele 7 Scott, Leonard L. 7 Vinroot, C. Ryan 7 Wang, Qingwen 7 Zieve, Michael E. 6 Abdollahi, Alireza 6 Brooksbank, Peter A. 6 Di Martino, Lino 6 Felipe, María José 6 Garion, Shelly 6 Isaacs, I. Martin 6 Jedlička, Přemysl 6 Khukhro, Evgeniĭ I. 6 Lee, Melissa 6 Leedham-Green, Charles R. 6 Liu, Weijun 6 Lübeck, Frank 6 Maslova, Natal’ya Vladimirovna 6 Meierfrankenfeld, Ulrich 6 Miao, Long 6 Montgomery, Susan 6 Moscatiello, Mariapia 6 Müller, Peter 6 O’Meara, Kevin C. 6 Omladič, Matjaž 6 Pan, Jiangmin 6 Qian, Guohua 6 Revin, Danila Olegovitch 6 Röhrle, Gerhard E. 6 Stellmacher, Bernd ...and 1,705 more Authors all top 5 Cited in 264 Serials 344 Journal of Algebra 128 Communications in Algebra 104 Linear Algebra and its Applications 78 Israel Journal of Mathematics 76 Transactions of the American Mathematical Society 57 Journal of Group Theory 52 Journal of Pure and Applied Algebra 47 Proceedings of the American Mathematical Society 42 Archiv der Mathematik 36 Advances in Mathematics 35 Finite Fields and their Applications 30 Discrete Mathematics 30 Journal of Algebra and its Applications 27 Journal of Combinatorial Theory. 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Mathématique. Académie des Sciences, Paris 6 Ars Mathematica Contemporanea 5 Communications in Mathematical Physics 5 Annales de l’Institut Fourier 5 Journal of Functional Analysis 5 Rendiconti del Seminario Matematico della Università di Padova 5 Results in Mathematics 5 Combinatorica 5 Journal of Symbolic Computation 5 Journal of the American Mathematical Society 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Indagationes Mathematicae. New Series 5 Journal of Knot Theory and its Ramifications 5 Bulletin of the Brazilian Mathematical Society. New Series 5 European Journal of Mathematics 4 Ukrainian Mathematical Journal 4 Applied Mathematics and Computation 4 Compositio Mathematica 4 Geometriae Dedicata 4 Journal of Soviet Mathematics 4 Mathematische Nachrichten 4 Michigan Mathematical Journal 4 Nagoya Mathematical Journal 4 Revista Matemática Iberoamericana 4 Geometric and Functional Analysis. GAFA 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Expositiones Mathematicae 4 The Electronic Journal of Combinatorics 4 Acta Mathematica Sinica. English Series 4 Mediterranean Journal of Mathematics 4 Japanese Journal of Mathematics. 3rd Series 4 Bulletin of Mathematical Sciences 4 Problemy Fiziki, Matematiki i Tekhniki 4 Forum of Mathematics, Pi 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Beiträge zur Algebra und Geometrie 3 Journal of the Mathematical Society of Japan 3 The Journal of Symbolic Logic 3 Proceedings of the London Mathematical Society. Third Series 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Ricerche di Matematica 3 Topology and its Applications ...and 164 more Serials all top 5 Cited in 52 Fields 1,376 Group theory and generalizations (20-XX) 300 Combinatorics (05-XX) 245 Number theory (11-XX) 204 Algebraic geometry (14-XX) 198 Linear and multilinear algebra; matrix theory (15-XX) 164 Associative rings and algebras (16-XX) 97 Commutative algebra (13-XX) 87 Field theory and polynomials (12-XX) 60 Nonassociative rings and algebras (17-XX) 39 Manifolds and cell complexes (57-XX) 38 Topological groups, Lie groups (22-XX) 35 Geometry (51-XX) 32 Information and communication theory, circuits (94-XX) 31 Computer science (68-XX) 25 Probability theory and stochastic processes (60-XX) 23 Functions of a complex variable (30-XX) 22 Operator theory (47-XX) 20 Dynamical systems and ergodic theory (37-XX) 20 Quantum theory (81-XX) 16 Algebraic topology (55-XX) 14 Functional analysis (46-XX) 13 Several complex variables and analytic spaces (32-XX) 12 Mathematical logic and foundations (03-XX) 12 Category theory; homological algebra (18-XX) 11 Order, lattices, ordered algebraic structures (06-XX) 11 \(K\)-theory (19-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Systems theory; control (93-XX) 8 General algebraic systems (08-XX) 8 Convex and discrete geometry (52-XX) 8 Numerical analysis (65-XX) 7 Abstract harmonic analysis (43-XX) 6 History and biography (01-XX) 6 Differential geometry (53-XX) 5 General and overarching topics; collections (00-XX) 5 Operations research, mathematical programming (90-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Biology and other natural sciences (92-XX) 3 Partial differential equations (35-XX) 2 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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