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Guralnick, Robert Michael

Author ID: guralnick.robert-m Recent zbMATH articles by "Guralnick, Robert Michael"
Published as: Guralnick, Robert M.; Guralnick, Robert; Guralnick, R. M.; Guralnick, R.
Homepage: https://dornsife.usc.edu/cf/faculty-and-staff/faculty.cfm?pid=1003312
External Links: MGP · ORCID · Wikidata · Math-Net.Ru · dblp · GND · IdRef
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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
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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

Publications by Year

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 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
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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
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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)
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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)

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