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Guralnick, Robert Michael

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Author ID: guralnick.robert-m Recent zbMATH articles by "Guralnick, Robert Michael"
Published as: Guralnick, R.; Guralnick, R. M.; Guralnick, Robert; Guralnick, Robert M.
Homepage: https://dornsife.usc.edu/cf/faculty-and-staff/faculty.cfm?pid=1003312
External Links: MGP · Math-Net.Ru · Wikidata · ORCID · dblp · GND
Documents Indexed: 260 Publications since 1977, including 4 Books
Reviewing Activity: 68 Reviews
Biographic References: 1 Publication
all top 5

Co-Authors

51 single-authored
24 Tiep Pham Huu
16 Saxl, Jan
11 Malle, Gunter
9 Fulman, Jason E.
7 Garibaldi, Skip
7 Kantor, William M.
6 Estes, Dennis Ray
6 Goldstein, Daniel E.
6 Magaard, Kay
6 Maróti, Attila
6 Navarro, Gabriel
6 Praeger, Cheryl Elisabeth
6 Shalev, Aner
6 Wiegand, Roger Allen
5 Burness, Timothy C.
5 Liebeck, Martin Walter
4 Aschbacher, Michael George
4 Kassabov, Martin
4 Levy, Lawrence S.
4 Lubotzky, Alexander
4 Robinson, Geoffrey Raymond
4 Zieve, Michael E.
3 Bass, Hyman
3 Chinburg, Ted
3 Dolfi, Silvio
3 Goldstein, Daniel G.
3 Harbater, David
3 Isaacs, I. Martin
3 Larsen, Michael Jeffrey
3 Lübeck, Frank
3 Miller, Michael D.
3 Montgomery, Susan
3 Schacher, Murray M.
3 Small, Lance W.
3 Spiga, Pablo
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 Herzig, Florian
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 Moretó, Alexander
2 Müller, Peter
2 Seitz, Gary M.
2 Shareshian, John
2 Shumyatsky, Pavel
2 Tao, Terence
2 Zel’manov, Efim Isaakovich
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 Colliot-Thélène, Jean-Louis
1 del Río, Angel
1 Diaconis, Persi Warren
1 Evard, Jean-Claude
1 Fein, Burton
1 Flavell, Paul
1 Freedman, A. P.
1 Fried, Michael David
1 Frohardt, Dan
1 Gelaki, Shlomo
1 Gerhardt, Spencer
1 Glauberman, George
1 Goldstein, Daniel J.
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 Hoffman, Corneliu G.
1 Jaffe, David B.
1 Joyner, David
1 Kedlaya, Kiran Sridhara
1 Kimmerle, Wolfgang
1 Kirkland, Steve J.
...and 61 more Co-Authors
all top 5

Serials

50 Journal of Algebra
18 Linear Algebra and its Applications
16 Proceedings of the American Mathematical Society
10 Israel Journal of Mathematics
9 Linear and Multilinear Algebra
9 Transactions of the American Mathematical Society
7 Advances in Mathematics
6 Journal of the European Mathematical Society (JEMS)
5 Communications in Algebra
5 Journal of Combinatorial Theory. Series A
4 Bulletin of the London Mathematical Society
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 Journal of Group Theory
3 Algebra & Number 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 Transformation Groups
2 Representation Theory
2 Groups, Geometry, and Dynamics
2 Forum of Mathematics, Pi
1 American Mathematical Monthly
1 Mathematical Proceedings of the Cambridge Philosophical Society
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 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 Notices of the American Mathematical Society
1 Irish Mathematical Society Bulletin
1 Indagationes Mathematicae. New Series
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 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

233 Publications have been cited 2,622 times in 1,654 Documents Cited by Year
Subgroups of prime power index in a simple group. Zbl 0515.20011
Guralnick, Robert M.
167
1983
Some applications of the first cohomology group. Zbl 0554.20017
Aschbacher, M.; Guralnick, R.
107
1984
Probabilistic generation of finite simple groups. Zbl 0973.20012
Guralnick, Robert M.; Kantor, William M.
77
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
61
2012
Linear groups with orders having certain large prime divisors. Zbl 1041.20035
Guralnick, Robert; Penttila, Tim; Praeger, Cheryl E.; Saxl, Jan
56
1999
Generation of finite almost simple groups by conjugates. Zbl 1037.20016
Guralnick, Robert M.; Saxl, Jan
55
2003
On the commuting probability in finite groups. Zbl 1100.20045
Guralnick, Robert M.; Robinson, Geoffrey R.
46
2006
Cross characteristic representations of symplectic and unitary groups. Zbl 1025.20002
Guralnick, Robert M.; Magaard, Kay; Saxl, Jan; Pham Huu Tiep
45
2002
A note on commuting pairs of matrices. Zbl 0754.15011
Guralnick, Robert M.
45
1992
On the minimal degree of a primitive permutation group. Zbl 0911.20003
Guralnick, Robert; Magaard, Kay
35
1998
Products of conjugacy classes and fixed point spaces. Zbl 1286.20007
Guralnick, Robert; Malle, Gunter
34
2012
Cross characteristic representations of even characteristic symplectic groups. Zbl 1062.20013
Guralnick, Robert M.; Pham Huu Tiep
34
2004
Schur covers and Carlitz’s conjecture. Zbl 0855.11063
Fried, Michael D.; Guralnick, Robert; Saxl, Jan
34
1993
Module equivalences: Local to global. When primitive polynomials represent units. Zbl 0492.13005
Estes, Dennis R.; Guralnick, Robert M.
33
1982
Probabilistic generation of finite simple groups. II. Zbl 1181.20013
Breuer, Thomas; Guralnick, Robert M.; Kantor, William M.
31
2008
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
29
2001
Simple groups admit Beauville structures. Zbl 1255.20009
Guralnick, Robert; Malle, Gunter
27
2012
Self-normalizing Sylow subgroups. Zbl 1049.20010
Guralnick, Robert M.; Malle, Gunter; Navarro, Gabriel
24
2004
The rational function analogue of a question of Schur and exceptionality of permutation representations. Zbl 1082.12004
Guralnick, Robert M.; Müller, Peter; Saxl, Jan
24
2003
Low-dimensional representations of special linear groups in cross characteristics. Zbl 0974.20014
Guralnick, Robert M.; Pham Huu Tiep
24
1999
Finite groups of genus zero. Zbl 0713.20011
Guralnick, Robert M.; Thompson, John G.
23
1990
Presentations of finite simple groups: a quantitative approach. Zbl 1223.20024
Guralnick, R. M.; Kantor, W. M.; Kassabov, M.; Lubotzky, A.
22
2008
Finite simple unisingular groups of Lie type. Zbl 1046.20013
Guralnick, Robert M.; Pham Huu Tiep
22
2003
Commuting pairs and triples of matrices and related varieties. Zbl 0971.15007
Guralnick, Robert M.; Sethuraman, B. A.
22
2000
Presentations of finite simple groups: profinite and cohomological approaches. Zbl 1135.20024
Guralnick, Robert; Kantor, William M.; Kassabov, Martin; Lubotzky, Alexander
21
2007
Derangements in simple and primitive groups. Zbl 1036.20002
Fulman, Jason; Guralnick, Robert
21
2003
On the number of generators of a finite group. Zbl 0675.20026
Guralnick, Robert M.
21
1989
Triangularization of sets of matrices. Zbl 0443.15006
Guralnick, Robert M.
21
1980
On \(p\)-singular elements in Chevalley groups in characteristic \(p\). Zbl 1001.20045
Guralnick, Robert M.; Lübeck, Frank
20
2001
On Abelian quotients of primitive groups. Zbl 0679.20001
Aschbacher, Michael; Guralnick, Robert M.
20
1989
Strongly dense free subgroups of semisimple algebraic groups. Zbl 1266.20060
Breuillard, Emmanuel; Green, Ben; Guralnick, Robert; Tao, Terence
19
2012
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.
19
2008
Decompositions of small tensor powers and Larsen’s conjecture. Zbl 1109.20040
Guralnick, Robert M.; Tiep, Pham Huu
19
2005
The probability of generating a classical group. Zbl 0820.20022
Guralnick, Robert M.; Kantor, William M.; Saxl, Jan
19
1994
Subgroups inducing the same permutation representation. Zbl 0527.20005
Guralnick, Robert M.
19
1983
Solvable generation of groups and Sylow subgroups of the lower central series. Zbl 0485.20012
Aschbacher, M.; Guralnick, R.
19
1982
Hamiltonian cycles in the generating graphs of finite groups. Zbl 1223.20058
Breuer, T.; Guralnick, R. M.; Lucchini, A.; Maróti, A.; Nagy, G. P.
18
2010
The first cohomology group and generation of simple groups. Zbl 0894.20039
Guralnick, Robert M.; Hoffman, Corneliu
18
1998
Generation of simple groups. Zbl 0601.20013
Guralnick, Robert M.
18
1986
Roth’s theorems and decomposition of modules. Zbl 0468.16022
Guralnick, Robert M.
18
1981
On base sizes for symmetric groups. Zbl 1222.20002
Burness, Timothy C.; Guralnick, Robert M.; Saxl, Jan
17
2011
Alternating forms and self-adjoint operators. Zbl 1111.11022
Goldstein, Daniel; Guralnick, Robert M.
17
2007
Derived subgroups of fixed points. Zbl 1050.20013
Guralnick, Robert; Shumyatsky, Pavel
17
2001
Modules for algebraic groups with finitely many orbits on subspaces. Zbl 0906.20029
Guralnick, Robert M.; Liebeck, Martin W.; Macpherson, Dugald; Seitz, Gary M.
17
1997
Invertible preservers and algebraic groups. Zbl 0814.15002
Guralnick, Robert M.
17
1994
Symmetric powers and a problem of Kollár and Larsen. Zbl 1245.20058
Guralnick, Robert M.; Tiep, Pham Huu
16
2008
Thompson-like characterizations of the solvable radical. Zbl 1118.20021
Guralnick, Robert; Kunyavskiĭ, Boris; Plotkin, Eugene; Shalev, Aner
16
2006
The non-coprime \(k(GV)\) problem. Zbl 1083.20006
Guralnick, Robert M.; Tiep, Pham Huu
16
2005
Bounds for fixed point free elements in a transitive group and applications to curves over finite fields. Zbl 0910.11053
Guralnick, Robert; Wan, Daqing
16
1997
Commutators and commutator subgroups. Zbl 0505.20022
Guralnick, Robert M.
16
1982
Derangements in subspace actions of finite classical groups. Zbl 1431.20033
Fulman, Jason; Guralnick, Robert
15
2017
On fixed points of permutations. Zbl 1192.20001
Diaconis, Persi; Fulman, Jason; Guralnick, Robert
15
2008
On base sizes for algebraic groups. Zbl 1445.20002
Burness, Timothy C.; Guralnick, Robert M.; Saxl, Jan
14
2017
Simple groups stabilizing polynomials. Zbl 1365.20046
Garibaldi, Skip; Guralnick, Robert M.
14
2015
Classification of \(2F\)-modules. II. Zbl 1085.20004
Guralnick, Robert M.; Malle, Gunter
14
2004
Conjugacy class properties of the extension of \(\text{GL}(n,q)\) generated by the inverse transpose involution. Zbl 1065.20065
Fulman, Jason; Guralnick, Robert
14
2004
Monodromy groups of polynomials. Zbl 0848.12002
Guralnick, Robert M.; Saxl, Jan
14
1995
Similarity of matrices over local rings. Zbl 0478.15017
Guralnick, Robert M.
14
1981
Normalizers of primitive permutation groups. Zbl 1414.20002
Guralnick, Robert M.; Maróti, Attila; Pyber, László
13
2017
First cohomology groups of Chevalley groups in cross characteristic. Zbl 1237.20039
Guralnick, Robert M.; Tiep, Pham Huu
13
2011
Oort groups and lifting problems. Zbl 1158.12003
Chinburg, T.; Guralnick, R.; Harbater, D.
13
2008
On the spread of finite simple groups. Zbl 1027.20004
Guralnick, Robert M.; Shalev, Aner
13
2003
The genus of a module. II: Roiter’s theorem, power cancellation and extension of scalars. Zbl 0621.16007
Guralnick, Robert M.
13
1987
Matrix equivalence and isomorphism of modules. Zbl 0493.16015
Guralnick, Robert M.
13
1982
Pseudosimilarity and cancellation of modules. Zbl 0493.15010
Guralnick, Robert; Lanski, Charles
13
1982
The automorphism groups of a family of maximal curves. Zbl 1285.11094
Guralnick, Robert; Malmskog, Beth; Pries, Rachel
12
2012
Average dimension of fixed point spaces with applications. Zbl 1211.20011
Guralnick, Robert M.; Maróti, Attila
12
2011
Characterizations of the solvable radical. Zbl 1202.20026
Flavell, Paul; Guest, Simon; Guralnick, Robert
12
2010
Exceptional covers and bijections on rational points. Zbl 1127.14023
Guralnick, Robert M.; Tucker, Thomas J.; Zieve, Michael E.
12
2007
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
12
2007
Small representations are completely reducible. Zbl 0941.20001
Guralnick, Robert M.
12
1999
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
12
1997
Expansion in finite simple groups of Lie type. Zbl 1331.20060
Breuillard, Emmanuel; Green, Ben; Guralnick, Robert; Tao, Terence
11
2015
Rational rigidity for \(E_8(p)\). Zbl 1328.12007
Guralnick, Robert; Malle, Gunter
11
2014
Base sizes for \(\mathcal S\)-actions of finite classical groups. Zbl 1321.20002
Burness, Timothy C.; Guralnick, Robert M.; Saxl, Jan
11
2014
Presentations of finite simple groups: a computational approach. Zbl 1256.20008
Guralnick, 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 1193.16026
Guralnick, Robert; Montgomery, Susan
11
2009
Monodromy groups of coverings of curves. Zbl 1071.20001
Guralnick, Robert
11
2003
Classification of \(2F\)-modules. I. Zbl 1017.20005
Guralnick, Robert M.; Malle, Gunter
11
2002
Shirshov’s theorem and representations of semigroups. Zbl 0915.20034
Freedman, A.; Gupta, R. N.; Guralnick, R. M.
11
1998
Polynomial rings over Goldie rings are often Goldie. Zbl 0608.16020
Camillo, Victor; Guralnick, Robert
11
1986
Lifting homomorphisms of modules. Zbl 0558.16003
Guralnick, Robert M.
11
1985
On rational and concise words. Zbl 1346.20042
Guralnick, Robert; Shumyatsky, Pavel
10
2015
The local lifting problem for actions of finite groups on curves. Zbl 1239.14024
Chinburg, Ted; Guralnick, Robert; Harbater, David
10
2011
The probability of generating a finite soluble group. Zbl 1043.20047
Guralnick, R. M.; Wilson, J. S.
10
2000
Monodromy groups of branched coverings: The generic case. Zbl 0845.20002
Guralnick, Robert M.; Neubauer, Michael G.
10
1995
On extensions of the Baer-Suzuki theorem. Zbl 0794.20029
Guralnick, Robert M.; Robinson, Geoffrey R.
10
1993
Galois groups and the multiplicative structure of field extensions. Zbl 0753.12003
Guralnick, Robert; Wiegand, Roger
10
1992
Roth’s theorems for sets of matrices. Zbl 0584.15006
Guralnick, Robert M.
10
1985
A note on the local-global principle for similarity of matrices. Zbl 0442.15009
Guralnick, Robert M.
10
1980
A note on pairs of matrices with rank one commutator. Zbl 0423.15005
Guralnick, Robert M.
10
1979
Derangements in finite classical groups for actions related to extension field and imprimitive subgroups and the solution of the Boston-Shalev conjecture. Zbl 06862789
Fulman, Jason; Guralnick, Robert
9
2018
Effective results on the Waring problem for finite simple groups. Zbl 1338.20009
Guralnick, Robert M.; Tiep, Pham Huu
9
2015
The number of regular semisimple conjugacy classes in the finite classical groups. Zbl 1295.20048
Fulman, Jason; Guralnick, Robert
9
2013
Products of conjugacy classes in finite and algebraic simple groups. Zbl 1277.20029
Guralnick, Robert M.; Malle, Gunter; Tiep, Pham Huu
9
2013
Representation growth in positive characteristic and conjugacy classes of maximal subgroups. Zbl 1244.20007
Guralnick, Robert M.; Larsen, Michael; Tiep, Pham Huu
9
2012
Some applications of subgroup structure to probabilistic generation and covers of curves. Zbl 0973.20011
Guralnick, Robert M.
9
1998
Invertible preservers and algebraic groups. II: Preservers of similarity invariants and overgroups of \(\text{PSL}_ n(\mathbb{F})\). Zbl 0889.20026
Guralnick, Robert M.
9
1997
Exceptional polynomials of affine type. Zbl 0911.11049
Guralnick, Robert M.; Müller, Peter
9
1997
Squaring a conjugacy class and cosets of normal subgroups. Zbl 1346.20037
Guralnick, Robert; Navarro, Gabriel
8
2016
The spread of a finite group. Zbl 07331717
Burness, Timothy; Guralnick, Robert; Harper, Scott
1
2021
Centers of Sylow subgroups and automorphisms. Zbl 07297406
Glauberman, George; Guralnick, Robert; Lynd, Justin; Navarro, Gabriel
1
2020
Generically free representations. I: Large representations. Zbl 07248667
Garibaldi, Skip; Guralnick, Robert
1
2020
Generically free representations III: extremely bad characteristic. Zbl 07239293
Garibaldi, Skip; Guralnick, Robert M.
1
2020
Generically free representations II: irreducible representations. Zbl 07239292
Garibaldi, Skip; Guralnick, Robert M.
1
2020
Topological generation of exceptional algebraic groups. Zbl 07202990
Burness, Timothy C.; Gerhardt, Spencer; Guralnick, Robert M.
1
2020
Character levels and character bounds. Zbl 07158138
Guralnick, Robert M.; Larsen, Michael; Tiep, Pham Huu
1
2020
Rigid local systems and alternating groups. Zbl 1454.11217
Guralnick, Robert; Katz, Nicholas; Tiep, Pham Huu
4
2019
Conjugacy classes, characters and products of elements. Zbl 1454.20009
Guralnick, Robert M.; Moretó, Alexander
2
2019
Zero-one generation laws for finite simple groups. Zbl 07057701
Guralnick, Robert M.; Liebeck, Martin W.; Lübeck, Frank; Shalev, Aner
2
2019
Permutation representations of nonsplit extensions involving alternating groups. Zbl 1454.20013
Guralnick, 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 06862789
Fulman, Jason; Guralnick, Robert
9
2018
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
6
2018
Symmetric and alternating powers of Weil representations of finite symplectic groups. Zbl 07069218
Guralnick, Robert M.; Magaard, Kay; Tiep, Pham Huu
5
2018
Enumeration of commuting pairs in Lie algebras over finite fields. Zbl 1395.05190
Fulman, Jason; Guralnick, Robert
2
2018
On isometry groups of self-adjoint traceless and skew-symmetric matrices. Zbl 1380.15027
Gaál, Marcell; Guralnick, Robert M.
2
2018
Derangements in subspace actions of finite classical groups. Zbl 1431.20033
Fulman, Jason; Guralnick, Robert
15
2017
On base sizes for algebraic groups. Zbl 1445.20002
Burness, Timothy C.; Guralnick, Robert M.; Saxl, Jan
14
2017
Normalizers of primitive permutation groups. Zbl 1414.20002
Guralnick, Robert M.; Maróti, Attila; Pyber, László
13
2017
Asymptotics of the number of involutions in finite classical groups. Zbl 1376.20055
Fulman, Jason; Guralnick, Robert; Stanton, Dennis
6
2017
Spinors and essential dimension. Zbl 06782033
Garibaldi, Skip; Guralnick, Robert M.
5
2017
Adequate subgroups and indecomposable modules. Zbl 06705852
Guralnick, Robert; Herzig, Florian; Tiep, Pham Huu
5
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
Bhargava, Manjul (ed.); Guralnick, Robert (ed.); Hiss, Gerhard (ed.); Lux, Klaus (ed.); Tiep, Pham Huu (ed.)
3
2017
Endomorphism fields of abelian varieties. Zbl 1441.11154
Guralnick, Robert; Kedlaya, Kiran S.
2
2017
Global Oort groups. Zbl 1406.20007
Chinburg, Ted; Guralnick, Robert; Harbater, David
2
2017
A lower bound for the dimension of a highest weight module. Zbl 1429.17010
Goldstein, Daniel; Guralnick, Robert; Stong, Richard
1
2017
Globally irreducible Weyl modules. Zbl 1427.20062
Garibaldi, Skip; Guralnick, Robert M.; Nakano, Daniel K.
1
2017
Squaring a conjugacy class and cosets of normal subgroups. Zbl 1346.20037
Guralnick, Robert; Navarro, Gabriel
8
2016
Essential dimension of algebraic groups, including bad characteristic. Zbl 1369.11029
Garibaldi, Skip; Guralnick, Robert M.
6
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
Finite groups with odd Sylow normalizers. Zbl 1361.20018
Guralnick, Robert M.; Navarro, Gabriel; Tiep, Pham Huu
1
2016
Simple groups stabilizing polynomials. Zbl 1365.20046
Garibaldi, Skip; Guralnick, Robert M.
14
2015
Expansion in finite simple groups of Lie type. Zbl 1331.20060
Breuillard, Emmanuel; Green, Ben; Guralnick, Robert; Tao, Terence
11
2015
On rational and concise words. Zbl 1346.20042
Guralnick, Robert; Shumyatsky, Pavel
10
2015
Effective results on the Waring problem for finite simple groups. Zbl 1338.20009
Guralnick, Robert M.; Tiep, Pham Huu
9
2015
Lifting in Frattini covers and a characterization of finite solvable groups. Zbl 1343.20022
Guralnick, Robert M.; Tiep, Pham Huu
6
2015
Adequate groups of low degree. Zbl 1365.20008
Guralnick, Robert; Herzig, Florian; Tiep, Pham Huu
5
2015
Variations on the Baer-Suzuki theorem. Zbl 1321.20018
Guralnick, Robert; Malle, Gunter
4
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.
3
2015
Products and commutators of classes in algebraic groups. Zbl 1329.20061
Guralnick, Robert; Malle, Gunter
3
2015
Rational rigidity for \(E_8(p)\). Zbl 1328.12007
Guralnick, Robert; Malle, Gunter
11
2014
Base sizes for \(\mathcal S\)-actions of finite classical groups. Zbl 1321.20002
Burness, Timothy C.; Guralnick, Robert M.; Saxl, Jan
11
2014
Cosets of Sylow \(p\)-subgroups and a question of Richard Taylor. Zbl 1300.20026
Goldstein, Daniel; Guralnick, Robert
5
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
2
2014
Applications of the classification of finite simple groups. Zbl 1373.20014
Guralnick, Robert
1
2014
The number of regular semisimple conjugacy classes in the finite classical groups. Zbl 1295.20048
Fulman, Jason; Guralnick, Robert
9
2013
Products of conjugacy classes in finite and algebraic simple groups. Zbl 1277.20029
Guralnick, Robert M.; Malle, Gunter; Tiep, Pham Huu
9
2013
Coprime subdegrees for primitive permutation groups and completely reducible linear groups. Zbl 1287.20005
Dolfi, Silvio; Guralnick, Robert; Praeger, Cheryl E.; Spiga, Pablo
7
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
61
2012
Products of conjugacy classes and fixed point spaces. Zbl 1286.20007
Guralnick, Robert; Malle, Gunter
34
2012
Simple groups admit Beauville structures. Zbl 1255.20009
Guralnick, Robert; Malle, Gunter
27
2012
Strongly dense free subgroups of semisimple algebraic groups. Zbl 1266.20060
Breuillard, Emmanuel; Green, Ben; Guralnick, Robert; Tao, Terence
19
2012
The automorphism groups of a family of maximal curves. Zbl 1285.11094
Guralnick, Robert; Malmskog, Beth; Pries, Rachel
12
2012
Representation growth in positive characteristic and conjugacy classes of maximal subgroups. Zbl 1244.20007
Guralnick, Robert M.; Larsen, Michael; Tiep, Pham Huu
9
2012
A new solvability criterion for finite groups. Zbl 1246.20015
Dolfi, Silvio; Guralnick, Robert M.; Herzog, Marcel; Praeger, Cheryl E.
7
2012
Adequate subgroups. II. Zbl 1309.11048
Guralnick, Robert
4
2012
Low degree representations of simple Lie groups. Zbl 1247.22006
Guralnick, Robert; Larsen, Michael; Manack, Corey
4
2012
A problem of Kollár and Larsen on finite linear groups and crepant resolutions. Zbl 1257.14013
Guralnick, Robert M.; Pham Huu Tiep
3
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
17
2011
First cohomology groups of Chevalley groups in cross characteristic. Zbl 1237.20039
Guralnick, Robert M.; Tiep, Pham Huu
13
2011
Average dimension of fixed point spaces with applications. Zbl 1211.20011
Guralnick, Robert M.; Maróti, Attila
12
2011
Presentations of finite simple groups: a computational approach. Zbl 1256.20008
Guralnick, R. M.; Kantor, W. M.; Kassabov, M.; Lubotzky, A.
11
2011
The local lifting problem for actions of finite groups on curves. Zbl 1239.14024
Chinburg, Ted; Guralnick, Robert; Harbater, David
10
2011
Real class sizes and real character degrees. Zbl 1210.20010
Guralnick, Robert M.; Navarro, Gabriel; Tiep, Pham Huu
8
2011
On a subfactor generalization of Wall’s conjecture. Zbl 1253.46068
Guralnick, Robert; Xu, Feng
7
2011
Frobenius subgroups of free profinite products. Zbl 1228.20025
Guralnick, Robert M.; Haran, Dan
2
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.
2
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.
18
2010
Characterizations of the solvable radical. Zbl 1202.20026
Flavell, Paul; Guest, Simon; Guralnick, Robert
12
2010
Polynomials with \(\text{PSL}(2)\) monodromy. Zbl 1214.12003
Guralnick, Robert M.; Zieve, Michael E.
8
2010
A new family of exceptional polynomials in characteristic two. Zbl 1214.12002
Guralnick, Robert M.; Rosenberg, Joel; Zieve, Michael E.
7
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
Probabilistic generation of finite simple groups. II. Zbl 1181.20013
Breuer, Thomas; Guralnick, Robert M.; Kantor, William M.
31
2008
Presentations of finite simple groups: a quantitative approach. Zbl 1223.20024
Guralnick, R. M.; Kantor, W. M.; Kassabov, M.; Lubotzky, A.
22
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.
19
2008
Symmetric powers and a problem of Kollár and Larsen. Zbl 1245.20058
Guralnick, Robert M.; Tiep, Pham Huu
16
2008
On fixed points of permutations. Zbl 1192.20001
Diaconis, Persi; Fulman, Jason; Guralnick, Robert
15
2008
Oort groups and lifting problems. Zbl 1158.12003
Chinburg, T.; Guralnick, R.; Harbater, D.
13
2008
Addendum to paper “On the commuting probability in finite groups”. Zbl 1176.20067
Guralnick, R. M.; Robinson, G. R.
3
2008
Frobenius groups as monodromy groups. Zbl 1195.14040
Guralnick, Robert M.
2
2008
Nonisomorphic curves that become isomorphic over extensions of coprime degrees. Zbl 1160.14020
Goldstein, Daniel; Guralnick, Robert M.; Howe, Everett W.; Zieve, Michael E.
2
2008
Presentations of finite simple groups: profinite and cohomological approaches. Zbl 1135.20024
Guralnick, Robert; Kantor, William M.; Kassabov, Martin; Lubotzky, Alexander
21
2007
Alternating forms and self-adjoint operators. Zbl 1111.11022
Goldstein, Daniel; Guralnick, Robert M.
17
2007
Exceptional covers and bijections on rational points. Zbl 1127.14023
Guralnick, Robert M.; Tucker, Thomas J.; Zieve, Michael E.
12
2007
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
12
2007
Burnside-type problems related to solvability. Zbl 1179.20014
Guralnick, Robert; Plotkin, Eugene; Shalev, Aner
7
2007
The 2F-modules for nearly simple groups. Zbl 1115.20002
Guralnick, Robert M.; Lawther, Ross; Malle, Gunter
7
2007
Intersections of conjugacy classes and subgroups of algebraic groups. Zbl 1112.20040
Guralnick, Robert M.
7
2007
Elementary Abelian 2-subgroups of Sidki-type in finite groups. Zbl 1135.20008
Aschbacher, Michael; Guralnick, Robert; Segev, Yoav
1
2007
On the commuting probability in finite groups. Zbl 1100.20045
Guralnick, Robert M.; Robinson, Geoffrey R.
46
2006
Thompson-like characterizations of the solvable radical. Zbl 1118.20021
Guralnick, Robert; Kunyavskiĭ, Boris; Plotkin, Eugene; Shalev, Aner
16
2006
Inversion invariant additive subgroups of division rings. Zbl 1122.17024
Goldstein, Daniel; Guralnick, Robert M.; Small, Lance; Zelmanov, Efim
6
2006
Orders of finite groups of matrices. Zbl 1203.20042
Guralnick, Robert M.; Lorenz, Martin
6
2006
Permutation polytopes and indecomposable elements in permutation groups. Zbl 1108.52014
Guralnick, Robert M.; Perkinson, David
6
2006
...and 133 more Documents
all top 5

Cited by 1,538 Authors

127 Guralnick, Robert Michael
64 Tiep Pham Huu
57 Lucchini, Andrea
40 Shumyatsky, Pavel
35 Shalev, Aner
32 Praeger, Cheryl Elisabeth
28 Burness, Timothy C.
28 Li, Caiheng
26 Liebeck, Martin Walter
25 Maróti, Attila
24 Navarro, Gabriel
24 Spiga, Pablo
18 Magaard, Kay
18 Saxl, Jan
16 Giudici, Michael
15 O’Brien, Eamonn A.
15 Zalesski, Alexandre Efimovich
14 Detomi, Eloisa
14 Kantor, William M.
14 Tong-Viet, Hung P.
13 Morigi, Marta
13 Yang, Yong
12 Fulman, Jason E.
12 Kunyavskiĭ, Boris Èmmanuilovich
12 Li, Chi-Kwong
12 Malle, Gunter
11 Lubotzky, Alexander
11 Pellegrini, Marco Antonio
10 Chen, Huanyin
10 Larsen, Michael Jeffrey
10 Li, Xianhua
10 Moretó, Alexander
10 Pyber, László
10 Radjavi, Heydar
9 Cameron, Peter Jephson
9 Gordeev, Nikolai L.
9 Guest, Simon D.
9 Nguyen, Hung Ngoc
8 Acciarri, Cristina
8 Aschbacher, Michael George
8 Crestani, Eleonora
8 Garibaldi, Skip
8 Garonzi, Martino
8 Katz, Nicholas Michael
8 Wiegand, Roger Allen
7 Beltrán, Antonio Felip
7 Grechkoseeva, Mariya Aleksandrovna
7 Halasi, Zoltán
7 Kassabov, Martin
7 Keller, Thomas Michael
7 Kondrat’ev, Anatoliĭ Semenovich
7 Laffey, Thomas J.
7 Plotkin, Eugene
7 Schaeffer Fry, Amanda A.
7 Scott, Leonard L.
7 Vinroot, C. Ryan
7 Xia, Binzhou
6 Brooksbank, Peter A.
6 Di Martino, Lino
6 Fang, Xingui
6 Garion, Shelly
6 Harper, Scott
6 Isaacs, I. Martin
6 Klingler, Lee C.
6 Kontogeorgis, Aristides I.
6 Leedham-Green, Charles R.
6 Liu, Weijun
6 Lübeck, Frank
6 Meierfrankenfeld, Ulrich
6 Miao, Long
6 Montgomery, Susan
6 Müller, Peter
6 O’Meara, Kevin C.
6 Qian, Guohua
6 Roney-Dougal, Colva M.
6 Šivic, Klemen
6 Stellmacher, Bernd
6 Wang, Qingwen
6 Zhang, Cui
5 Abdollahi, Alireza
5 Abhyankar, Shreeram Shankar
5 Andrade Martins, Enide
5 Baumeister, Barbara
5 Caranti, Andrea
5 Dalla Volta, Francesca
5 Damian, Erika
5 Diaconis, Persi Warren
5 Goldberg, Moshe
5 Grunewald, Fritz J.
5 Khukhro, Evgenii I.
5 Kleshchev, Alexander S.
5 Marion, Claude
5 Menegazzo, Federico
5 Montanucci, Maria
5 Omladič, Matjaž
5 Pan, Jiangmin
5 Röhrle, Gerhard E.
5 Seress, Ákos
5 Silva, Fernando Conceição
5 Tyutyanov, Valentin Nikolaevich
...and 1,438 more Authors
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Cited in 221 Serials

308 Journal of Algebra
117 Communications in Algebra
100 Linear Algebra and its Applications
68 Transactions of the American Mathematical Society
62 Israel Journal of Mathematics
47 Journal of Group Theory
46 Proceedings of the American Mathematical Society
44 Journal of Pure and Applied Algebra
38 Archiv der Mathematik
32 Advances in Mathematics
31 Finite Fields and their Applications
24 Discrete Mathematics
21 Journal of Number Theory
21 Journal of Algebra and its Applications
20 Linear and Multilinear Algebra
20 Journal of Combinatorial Theory. Series A
19 Journal of Algebraic Combinatorics
18 Bulletin of the Australian Mathematical Society
18 Monatshefte für Mathematik
16 Journal of the Australian Mathematical Society
15 Mathematische Zeitschrift
13 International Journal of Algebra and Computation
11 Inventiones Mathematicae
11 European Journal of Combinatorics
11 Algebra Colloquium
11 Journal of Mathematical Sciences (New York)
11 Forum of Mathematics, Sigma
10 Rocky Mountain Journal of Mathematics
10 Duke Mathematical Journal
10 Memoirs of the American Mathematical Society
10 Siberian Mathematical Journal
10 Proceedings of the Steklov Institute of Mathematics
9 Algebras and Representation Theory
9 Annals of Mathematics. Second Series
9 Groups, Geometry, and Dynamics
8 Algebra and Logic
8 Annali di Matematica Pura ed Applicata. Serie Quarta
8 Glasgow Mathematical Journal
8 Mathematische Annalen
8 Designs, Codes and Cryptography
8 Transformation Groups
8 International Journal of Group Theory
7 Forum Mathematicum
7 Bulletin of the American Mathematical Society. New Series
6 Manuscripta Mathematica
6 Journal of the European Mathematical Society (JEMS)
6 Science China. Mathematics
5 Mathematical Notes
5 Bulletin of the London Mathematical Society
5 Journal of Combinatorial Theory. Series B
5 Journal of Functional Analysis
5 Rendiconti del Seminario Matematico della Università di Padova
5 Journal of Symbolic Computation
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Ukrainian Mathematical Journal
4 Annales de l’Institut Fourier
4 Applied Mathematics and Computation
4 Geometriae Dedicata
4 Journal of the Mathematical Society of Japan
4 Journal für die Reine und Angewandte Mathematik
4 Journal of Soviet Mathematics
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 Quaestiones Mathematicae
4 Journal of the American Mathematical Society
4 Indagationes Mathematicae. New Series
4 Journal of Knot Theory and its Ramifications
4 Acta Mathematica Sinica. English Series
4 Problemy Fiziki, Matematiki i Tekhniki
4 Forum of Mathematics, Pi
3 Compositio Mathematica
3 Czechoslovak Mathematical Journal
3 The Journal of Symbolic Logic
3 Michigan Mathematical Journal
3 Nagoya Mathematical Journal
3 Pacific Journal of Mathematics
3 Results in Mathematics
3 Topology and its Applications
3 Acta Applicandae Mathematicae
3 Graphs and Combinatorics
3 Science in China. Series A
3 Geometric and Functional Analysis. GAFA
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 Combinatorics, Probability and Computing
3 Representation Theory
3 Annals of Combinatorics
3 LMS Journal of Computation and Mathematics
3 Bulletin of the Brazilian Mathematical Society. New Series
3 Algebra & Number Theory
3 Japanese Journal of Mathematics. 3rd Series
3 Research in the Mathematical Sciences
3 Research in Number Theory
3 Algebraic Combinatorics
2 Communications in Mathematical Physics
2 Journal of the Franklin Institute
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Beiträge zur Algebra und Geometrie
2 Le Matematiche
2 Proceedings of the London Mathematical Society. Third Series
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Ricerche di Matematica
...and 121 more Serials
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Cited in 49 Fields

1,093 Group theory and generalizations (20-XX)
224 Combinatorics (05-XX)
196 Number theory (11-XX)
177 Linear and multilinear algebra; matrix theory (15-XX)
155 Algebraic geometry (14-XX)
150 Associative rings and algebras (16-XX)
88 Commutative algebra (13-XX)
73 Field theory and polynomials (12-XX)
50 Nonassociative rings and algebras (17-XX)
34 Manifolds and cell complexes (57-XX)
29 Computer science (68-XX)
28 Geometry (51-XX)
27 Topological groups, Lie groups (22-XX)
25 Information and communication theory, circuits (94-XX)
22 Operator theory (47-XX)
20 Probability theory and stochastic processes (60-XX)
19 Functions of a complex variable (30-XX)
18 Dynamical systems and ergodic theory (37-XX)
14 Functional analysis (46-XX)
13 Mathematical logic and foundations (03-XX)
12 Order, lattices, ordered algebraic structures (06-XX)
12 Category theory; homological algebra (18-XX)
12 Quantum theory (81-XX)
11 Algebraic topology (55-XX)
10 \(K\)-theory (19-XX)
10 Several complex variables and analytic spaces (32-XX)
9 Systems theory; control (93-XX)
8 General algebraic systems (08-XX)
7 Global analysis, analysis on manifolds (58-XX)
7 Numerical analysis (65-XX)
6 Abstract harmonic analysis (43-XX)
6 Convex and discrete geometry (52-XX)
5 History and biography (01-XX)
5 Differential geometry (53-XX)
5 Operations research, mathematical programming (90-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
3 General and overarching topics; collections (00-XX)
3 Partial differential equations (35-XX)
3 Biology and other natural sciences (92-XX)
2 Ordinary differential equations (34-XX)
2 Fluid mechanics (76-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Approximations and expansions (41-XX)
1 General topology (54-XX)
1 Statistics (62-XX)
1 Mechanics of deformable solids (74-XX)
1 Relativity and gravitational theory (83-XX)

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