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Liebeck, Martin Walter

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Author ID: liebeck.martin-w Recent zbMATH articles by "Liebeck, Martin Walter"
Published as: Liebeck, M. W.; Liebeck, Martin; Liebeck, Martin W.
Homepage: http://wwwf.imperial.ac.uk/~mwl/
External Links: MGP · Wikidata · dblp · GND
Documents Indexed: 167 Publications since 1979, including 14 Books
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Serials

24 Journal of Algebra
17 Proceedings of the London Mathematical Society. Third Series
13 Bulletin of the London Mathematical Society
8 Proceedings of the American Mathematical Society
7 Journal of the London Mathematical Society. Second Series
6 Mathematische Zeitschrift
6 Transactions of the American Mathematical Society
5 Journal of Group Theory
4 Geometriae Dedicata
4 Inventiones Mathematicae
4 Memoirs of the American Mathematical Society
4 Journal of the Australian Mathematical Society. Series A
3 Advances in Mathematics
3 Journal of Combinatorial Theory. Series A
3 Pacific Journal of Mathematics
3 Annals of Mathematics. Second Series
2 Communications in Algebra
2 Israel Journal of Mathematics
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Duke Mathematical Journal
2 Journal of the European Mathematical Society (JEMS)
2 Oberwolfach Reports
2 London Mathematical Society Lecture Note Series
1 Bulletin of the Australian Mathematical Society
1 Discrete Mathematics
1 Acta Mathematica
1 Archiv der Mathematik
1 Journal of Graph Theory
1 Journal für die Reine und Angewandte Mathematik
1 The Quarterly Journal of Mathematics. Oxford Second Series
1 European Journal of Combinatorics
1 Irish Mathematical Society Newsletter
1 Journal of the American Mathematical Society
1 The Quarterly Journal of Mathematics
1 Mathematical Surveys and Monographs
1 Groups, Geometry, and Dynamics
1 Algebra & Number Theory
1 Forum of Mathematics, Sigma
1 Cambridge Mathematical Textbooks

Publications by Year

Citations contained in zbMATH Open

130 Publications have been cited 3,369 times in 1,809 Documents Cited by Year
The subgroup structure of the finite classical groups. Zbl 0697.20004
Kleidman, Peter; Liebeck, Martin
526
1990
The affine permutation groups of rank three. Zbl 0621.20001
Liebeck, Martin W.
123
1987
On the O’Nan-Scott theorem for finite primitive permutation groups. Zbl 0647.20005
Liebeck, Martin W.; Praeger, Cheryl E.; Saxl, Jan
112
1988
A classification of the maximal subgroups of the finite alternating and symmetric groups. Zbl 0632.20011
Liebeck, Martin W.; Praeger, Cheryl E.; Saxl, Jan
112
1987
The maximal factorizations of the finite simple groups and their automorphism groups. Zbl 0703.20021
Liebeck, M. W.; Praeger, C. E.; Saxl, J.
107
1990
On the orders of maximal subgroups of the finite classical groups. Zbl 0591.20021
Liebeck, Martin W.
102
1985
Subgroups of maximal rank in finite exceptional groups of Lie type. Zbl 0776.20012
Liebeck, Martin W.; Saxl, Jan; Seitz, Gary M.
93
1992
Unipotent and nilpotent classes in simple algebraic groups and Lie algebras. Zbl 1251.20001
Liebeck, Martin W.; Seitz, Gary M.
86
2012
Representations and characters of groups. 2nd ed. Zbl 0981.20004
James, Gordon; Liebeck, Martin
80
2001
The Ore conjecture. Zbl 1205.20011
Liebeck, Martin W.; O’Brien, E. A.; Shalev, Aner; Tiep, Pham Huu
75
2010
Representations and characters of groups. Zbl 0792.20006
James, Gordon; Liebeck, Martin
75
1993
Linear spaces with flag-transitive automorphism groups. Zbl 0707.51017
Buekenhout, Francis; Delandtsheer, Anne; Doyen, Jean; Kleidman, Peter B.; Liebeck, Martin W.; Saxl, Jan
69
1990
The probability of generating a finite simple group. Zbl 0836.20068
Liebeck, Martin W.; Shalev, Aner
65
1995
The primitive permutation groups of odd degree. Zbl 0573.20004
Liebeck, Martin W.; Saxl, Jan
63
1985
Classical groups, probabilistic methods, and the \((2,3)\)-generation problem. Zbl 0865.20020
Liebeck, Martin W.; Shalev, Aner
58
1996
The local maximal subgroups of exceptional groups of Lie type, finite and algebraic. Zbl 0706.20037
Cohen, A. M.; Liebeck, M. W.; Saxl, J.; Seitz, G. M.
56
1991
Diameters of finite simple groups: sharp bounds and applications. Zbl 1003.20014
Liebeck, Martin W.; Shalev, Aner
55
2001
Reductive subgroups of exceptional algebraic groups. Zbl 0851.20045
Liebeck, Martin W.; Seitz, Gary M.
52
1996
Minimal degrees of primitive permutation groups, with an application to monodromy groups of covers of Riemann surfaces. Zbl 0696.20004
Liebeck, Martin W.; Saxl, Jan
50
1991
The classification of finite simple Moufang loops. Zbl 0622.20061
Liebeck, Martin W.
48
1987
Simple groups, permutation groups, and probability. Zbl 0916.20003
Liebeck, Martin W.; Shalev, Aner
47
1999
On the orders of maximal subgroups of the finite exceptional groups of Lie type. Zbl 0627.20026
Liebeck, Martin W.; Saxl, Jan
47
1987
Primitive permutation groups containing an element of large prime order. Zbl 0573.20003
Liebeck, Martin W.; Saxl, Jan
45
1985
Character degrees and random walks in finite groups of Lie type. Zbl 1077.20020
Liebeck, Martin W.; Shalev, Aner
44
2005
Transitive subgroups of primitive permutation groups. Zbl 0972.20001
Liebeck, Martin W.; Praeger, Cheryl E.; Saxl, Jan
43
2000
The finite primitive permutation groups of rank three. Zbl 0586.20003
Liebeck, Martin W.; Saxl, Jan
43
1986
Fuchsian groups, finite simple groups and representation varieties. Zbl 1134.20059
Liebeck, Martin W.; Shalev, Aner
40
2005
Fuchsian groups, coverings of Riemann surfaces, subgroup growth, random quotients and random walks. Zbl 1068.20052
Liebeck, Martin W.; Shalev, Aner
39
2004
Maximal subgroups of exceptional groups of Lie type, finite and algebraic. Zbl 0721.20030
Liebeck, Martin W.; Seitz, Gary M.
35
1990
The maximal subgroups of positive dimension in exceptional algebraic groups. Zbl 1058.20040
Liebeck, Martin W.; Seitz, Gary M.
33
2004
Subgroups generated by root elements in groups of Lie type. Zbl 0824.20041
Liebeck, Martin W.; Seitz, Gary M.
33
1994
Simple groups, probabilistic methods, and a conjecture of Kantor and Lubotzky. Zbl 0870.20014
Liebeck, Martin W.; Shalev, Aner
30
1996
Base sizes for simple groups and a conjecture of Cameron. Zbl 1179.20002
Burness, Timothy C.; Liebeck, Martin W.; Shalev, Aner
29
2009
Fixed point ratios in actions of finite exceptional groups of Lie type. Zbl 1058.20001
Lawther, Ross; Liebeck, Martin W.; Seitz, Gary M.
29
2002
On the subgroup structure of exceptional groups of Lie type. Zbl 0905.20031
Liebeck, Martin W.; Seitz, Gary M.
29
1998
Upper bounds for the number of conjugacy classes of a finite group. Zbl 0892.20017
Liebeck, Martin W.; Pyber, László
29
1997
On the subgroup structure of classical groups. Zbl 0920.20039
Liebeck, Martin W.; Seitz, Gary M.
28
1998
On finite subgroups of exceptional algebraic groups. Zbl 0980.20034
Liebeck, Martin W.; Seitz, Gary M.
27
1999
On the overgroups of irreducible subgroups of the finite classical groups. Zbl 0671.20043
Liebeck, Martin W.; Saxl, Jan; Seitz, Gary M.
22
1987
The classification of finite linear spaces with flag-transitive automorphism groups of affine type. Zbl 0918.51009
Liebeck, Martin W.
21
1998
Regular subgroups of primitive permutation groups. Zbl 1198.20002
Liebeck, Martin W.; Praeger, Cheryl E.; Saxl, Jan
19
2010
A survey of maximal subgroups of exceptional groups of Lie type. Zbl 1032.20010
Liebeck, Martin W.; Seitz, Gary M.
19
2003
On factorizations of almost simple groups. Zbl 0862.20016
Liebeck, Martin W.; Praeger, Cheryl E.; Saxl, Jan
19
1996
On a conjecture of G. E. Wall. Zbl 1134.20023
Liebeck, Martin W.; Pyber, Laszlo; Shalev, Aner
17
2007
On conjugacy classes of maximal subgroups of finite simple groups, and a related zeta function. Zbl 1103.20010
Liebeck, Martin W.; Martin, Benjamin M. S.; Shalev, Aner
17
2005
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
Maximal subgroups of symmetric groups. Zbl 0866.20003
Liebeck, Martin W.; Shalev, Aner
16
1996
On the 2-closures of finite permutation groups. Zbl 0655.20003
Liebeck, Martin W.; Praeger, Cheryl E.; Saxl, Jan
16
1988
Permutation modules for rank 3 symplectic and orthogonal groups. Zbl 0559.20027
Liebeck, Martin W.
16
1985
On minimal degrees and base sizes of primitive permutation groups. Zbl 0544.20005
Liebeck, Martin W.
16
1984
Finite linear groups and bounded generation. Zbl 1017.20039
Liebeck, Martin W.; Pyber, L.
15
2001
Generators for finite simple groups, with applications to linear groups. Zbl 0780.20020
Hall, J. I.; Liebeck, Martin W.; Seitz, Gary M.
15
1992
Permanents and immanants of Hermitian matrices. Zbl 0657.15006
James, Gordon D.; Liebeck, Martin W.
15
1987
Multiplicity-free permutation representations of finite linear groups. Zbl 0578.20006
Inglis, Nicholas F. J.; Liebeck, Martin W.; Saxl, Jan
15
1986
Commutators in finite quasisimple groups. Zbl 1236.20011
Liebeck, Martin W.; O’Brien, E. A.; Shalev, Aner; Tiep, Pham Huu
14
2011
Irreducible subgroups of algebraic groups. Zbl 1065.20062
Liebeck, Martin W.; Testerman, Donna M.
14
2004
Simple subgroups of large rank in groups of Lie type. Zbl 0855.20040
Liebeck, Martin W.; Saxl, Jan; Testerman, Donna M.
14
1996
Centralizers of semisimple elements in finite twisted groups of Lie type. Zbl 0599.20064
Deriziotis, D. I.; Liebeck, Martin W.
14
1985
Fixed point spaces in actions of exceptional algebraic groups. Zbl 1058.20039
Lawther, Ross; Liebeck, Martin W.; Seitz, Gary M.
13
2002
Random \((r,s)\)-generation of finite classical groups. Zbl 1046.20046
Liebeck, Martin W.; Shalev, Aner
13
2002
On the diameter of a Cayley graph of a simple group of Lie type based on a conjugacy class. Zbl 0911.05035
Lawther, R.; Liebeck, Martin W.
13
1998
\(\aleph _ 0\)-categorical structures smoothly approximated by finite substructures. Zbl 0649.03018
Kantor, W. M.; Liebeck, Martin W.; Macpherson, H. D.
13
1989
A survey of the maximal subgroups of the finite simple groups. Zbl 0641.20015
Kleidman, Peter B.; Liebeck, Martin W.
13
1988
The factorizations of the finite exceptional groups of Lie type. Zbl 0607.20012
Hering, Christoph; Liebeck, Martin W.; Saxl, Jan
13
1987
Finding the characteristic of a group of Lie type. Zbl 1126.20008
Liebeck, Martin W.; O’Brien, E. A.
12
2007
Variations on a theme of Steinberg. Zbl 1054.20026
Liebeck, Martin W.; Seitz, Gary M.
12
2003
Factorizations of simple algebraic groups. Zbl 0848.20032
Liebeck, Martin W.; Saxl, Jan; Seitz, Gary M.
12
1996
Bases of primitive linear groups. Zbl 1034.20001
Liebeck, Martin W.; Shalev, Aner
11
2002
Groups of Lie type as products of \(\text{SL}_2\) subgroups. Zbl 1225.20016
Liebeck, Martin W.; Nikolov, Nikolay; Shalev, Aner
10
2011
Regular orbits of linear groups. Zbl 0901.20006
Liebeck, Martin W.
10
1996
Distance transitive graphs with symmetric or alternating automorphism group. Zbl 0601.05024
Liebeck, Martin W.; Praeger, Cheryl E.; Saxl, Jan
10
1987
On graphs whose full automorphism group is an alternating group or a finite classical group. Zbl 0517.05037
Liebeck, Martin W.
10
1983
Arithmetic results on orbits of linear groups. Zbl 1382.20003
Giudici, Michael; Liebeck, Martin W.; Praeger, Cheryl E.; Saxl, Jan; Tiep, Pham Huu
9
2016
Products of squares in finite simple groups. Zbl 1262.20013
Liebeck, Martin W.; O’Brien, E. A.; Shalev, Aner; Tiep, Pham Huu
9
2012
Permutation modules for rank 3 unitary groups. Zbl 0559.20026
Liebeck, Martin W.
9
1984
Product decompositions in finite simple groups. Zbl 1250.20018
Liebeck, Martin W.; Nikolov, Nikolay; Shalev, Aner
8
2012
A conjecture on product decompositions in simple groups. Zbl 1227.20006
Liebeck, Martin W.; Nikolov, Nikolay; Shalev, Aner
8
2010
Subgroups of exceptional algebraic groups which are irreducible on an adjoint or minimal module. Zbl 1058.20037
Liebeck, Martin W.; Seitz, Gary M.
8
2004
Random generation of finite simple groups. Zbl 0948.20052
Guralnick, Robert M.; Liebeck, Martin W.; Saxl, Jan; Shalev, Aner
8
1999
Maximal subgroups of large rank in exceptional groups of Lie type. Zbl 1073.20006
Liebeck, Martin W.; Seitz, Gary M.
7
2005
On point stabilizers in primitive permutation groups. Zbl 0731.20003
Liebeck, Martin W.; Saxl, Jan
7
1991
Character bounds for finite groups of Lie type. Zbl 06983623
Bezrukavnikov, Roman; Liebeck, Martin W.; Shalev, Aner; Tiep, Pham Huu
6
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
On fixed points of elements in primitive permutation groups. Zbl 1309.20001
Liebeck, Martin W.; Shalev, Aner
6
2015
Generation and random generation: from simple groups to maximal subgroups. Zbl 1292.20013
Burness, Timothy C.; Liebeck, Martin W.; Shalev, Aner
6
2013
The classification of almost simple \(\frac 32\)-transitive groups. Zbl 1281.20002
Bamberg, John; Giudici, Michael; Liebeck, Martin W.; Praeger, Cheryl E.; Saxl, Jan
6
2013
Affine distance-transitive groups with alternating or symmetric point stabiliser. Zbl 0770.05057
Liebeck, Martin W.; Praeger, Cheryl E.
6
1992
The depth of a finite simple group. Zbl 06852825
Burness, Timothy C.; Liebeck, Martin W.; Shalev, Aner
5
2018
Recognition of finite exceptional groups of Lie type. Zbl 1345.20065
Liebeck, Martin W.; O’Brien, E. A.
5
2016
Primitive permutation groups of bounded orbital diameter. Zbl 1225.20001
Liebeck, Martin W.; Macpherson, Dugald; Tent, Katrin
5
2010
Characterization of classical groups by orbit sizes on the natural module. Zbl 0862.20033
Liebeck, Martin W.
5
1996
Unipotent class representatives for finite classical groups. Zbl 1376.20014
Gonshaw, Samuel; Liebeck, Martin W.; O’Brien, E. A.
4
2017
Bases of primitive linear groups. II. Zbl 1302.20002
Liebeck, Martin W.; Shalev, Aner
4
2014
Some word maps that are non-surjective on infinitely many finite simple groups. Zbl 1292.20014
Jambor, Sebastian; Liebeck, Martin W.; O’Brien, E. A.
4
2013
A rigid triple of conjugacy classes in \(G_2\). Zbl 1219.20012
Liebeck, Martin W.; Litterick, Alastair J.; Marion, Claude
4
2011
Residual properties of the modular group and other free products. Zbl 1034.20025
Liebeck, Martin W.; Shalev, Aner
4
2003
Subgroups of simple algebraic groups and of related finite and locally finite groups of Lie type. Zbl 0840.20020
Liebeck, M. W.
4
1995
On a theorem of Feit and Tits. Zbl 0688.20005
Kleidman, Peter B.; Liebeck, Martin W.
4
1989
Graphs whose full automorphism group is a symmetric group. Zbl 0662.05028
Liebeck, Martin W.
4
1988
The length and depth of algebraic groups. Zbl 07051980
Burness, Timothy C.; Liebeck, Martin W.; Shalev, Aner
3
2019
The length and depth of compact Lie groups. Zbl 07179303
Burness, Timothy C.; Liebeck, Martin W.; Shalev, Aner
2
2020
Tensor product Markov chains. Zbl 07239059
Benkart, Georgia; Diaconis, Persi; Liebeck, Martin W.; Tiep, Pham Huu
1
2020
The length and depth of algebraic groups. Zbl 07051980
Burness, Timothy C.; Liebeck, Martin W.; Shalev, Aner
3
2019
Fields of values of odd-degree irreducible characters. Zbl 07103876
Isaacs, I. M.; Liebeck, M. W.; Navarro, Gabriel; Tiep, Pham Huu
2
2019
Zero-one generation laws for finite simple groups. Zbl 07057701
Guralnick, Robert M.; Liebeck, Martin W.; Lübeck, Frank; Shalev, Aner
2
2019
The classification of \(\frac{3}{2}\)-transitive permutation groups and \(\frac{1}{2}\)-transitive linear groups. Zbl 07122695
Liebeck, Martin W.; Praeger, Cheryl E.; Saxl, Jan
1
2019
Algorithms determining finite simple images of finitely presented groups. Zbl 1446.20051
Bridson, Martin R.; Evans, David M.; Liebeck, Martin W.; Segal, Dan
1
2019
Permutation representations of nonsplit extensions involving alternating groups. Zbl 1454.20013
Guralnick, Robert M.; Liebeck, Martin W.
1
2019
Character bounds for finite groups of Lie type. Zbl 06983623
Bezrukavnikov, Roman; Liebeck, Martin W.; Shalev, Aner; Tiep, Pham Huu
6
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
The depth of a finite simple group. Zbl 06852825
Burness, Timothy C.; Liebeck, Martin W.; Shalev, Aner
5
2018
Bases for quasisimple linear groups. Zbl 06973919
Lee, Melissa; Liebeck, Martin W.
1
2018
Unipotent class representatives for finite classical groups. Zbl 1376.20014
Gonshaw, Samuel; Liebeck, Martin W.; O’Brien, E. A.
4
2017
Generation of second maximal subgroups and the existence of special primes. Zbl 1428.20017
Burness, Timothy C.; Liebeck, Martin W.; Shalev, Aner
2
2017
Arithmetic results on orbits of linear groups. Zbl 1382.20003
Giudici, Michael; Liebeck, Martin W.; Praeger, Cheryl E.; Saxl, Jan; Tiep, Pham Huu
9
2016
Recognition of finite exceptional groups of Lie type. Zbl 1345.20065
Liebeck, Martin W.; O’Brien, E. A.
5
2016
On fixed points of elements in primitive permutation groups. Zbl 1309.20001
Liebeck, Martin W.; Shalev, Aner
6
2015
Distinguished unipotent elements and multiplicity-free subgroups of simple algebraic groups. Zbl 1364.20033
Liebeck, Martin W.; Seitz, Gary M.; Testerman, Donna M.
2
2015
Width questions for finite simple groups. Zbl 1346.20015
Liebeck, Martin W.
1
2015
Bases of primitive linear groups. II. Zbl 1302.20002
Liebeck, Martin W.; Shalev, Aner
4
2014
Outer unipotent classes in automorphism groups of simple algebraic groups. Zbl 1321.20042
Lawther, Ross; Liebeck, Martin W.; Seitz, Gary M.
2
2014
Generation and random generation: from simple groups to maximal subgroups. Zbl 1292.20013
Burness, Timothy C.; Liebeck, Martin W.; Shalev, Aner
6
2013
The classification of almost simple \(\frac 32\)-transitive groups. Zbl 1281.20002
Bamberg, John; Giudici, Michael; Liebeck, Martin W.; Praeger, Cheryl E.; Saxl, Jan
6
2013
Some word maps that are non-surjective on infinitely many finite simple groups. Zbl 1292.20014
Jambor, Sebastian; Liebeck, Martin W.; O’Brien, E. A.
4
2013
Powers in finite groups and a criterion for solubility. Zbl 1320.20019
Liebeck, Martin W.; Shalev, Aner
3
2013
Probabilistic and asymptotic aspects of finite simple groups. Zbl 1288.20103
Liebeck, Martin W.
1
2013
Unipotent and nilpotent classes in simple algebraic groups and Lie algebras. Zbl 1251.20001
Liebeck, Martin W.; Seitz, Gary M.
86
2012
Products of squares in finite simple groups. Zbl 1262.20013
Liebeck, Martin W.; O’Brien, E. A.; Shalev, Aner; Tiep, Pham Huu
9
2012
Product decompositions in finite simple groups. Zbl 1250.20018
Liebeck, Martin W.; Nikolov, Nikolay; Shalev, Aner
8
2012
The density of representation degrees. Zbl 1270.20054
Liebeck, Martin W.; Segal, Dan; Shalev, Aner
1
2012
Commutators in finite quasisimple groups. Zbl 1236.20011
Liebeck, Martin W.; O’Brien, E. A.; Shalev, Aner; Tiep, Pham Huu
14
2011
Groups of Lie type as products of \(\text{SL}_2\) subgroups. Zbl 1225.20016
Liebeck, Martin W.; Nikolov, Nikolay; Shalev, Aner
10
2011
A rigid triple of conjugacy classes in \(G_2\). Zbl 1219.20012
Liebeck, Martin W.; Litterick, Alastair J.; Marion, Claude
4
2011
Fixed points of elements of linear groups. Zbl 1235.20015
Liebeck, Martin W.; Shalev, Aner
3
2011
The Ore conjecture. Zbl 1205.20011
Liebeck, Martin W.; O’Brien, E. A.; Shalev, Aner; Tiep, Pham Huu
75
2010
Regular subgroups of primitive permutation groups. Zbl 1198.20002
Liebeck, Martin W.; Praeger, Cheryl E.; Saxl, Jan
19
2010
A conjecture on product decompositions in simple groups. Zbl 1227.20006
Liebeck, Martin W.; Nikolov, Nikolay; Shalev, Aner
8
2010
Primitive permutation groups of bounded orbital diameter. Zbl 1225.20001
Liebeck, Martin W.; Macpherson, Dugald; Tent, Katrin
5
2010
Base sizes for simple groups and a conjecture of Cameron. Zbl 1179.20002
Burness, Timothy C.; Liebeck, Martin W.; Shalev, Aner
29
2009
Short two-variable identities for finite groups. Zbl 1162.20021
Cargo, David P.; de Launey, Warwick; Liebeck, Martin W.; Stafford, Richard M.
2
2008
On a conjecture of G. E. Wall. Zbl 1134.20023
Liebeck, Martin W.; Pyber, Laszlo; Shalev, Aner
17
2007
Finding the characteristic of a group of Lie type. Zbl 1126.20008
Liebeck, Martin W.; O’Brien, E. A.
12
2007
The sparsity of dimensions of irreducible representations of finite simple groups. Zbl 1122.20005
Liebeck, Martin W.; Shalev, Aner
1
2007
Character degrees and random walks in finite groups of Lie type. Zbl 1077.20020
Liebeck, Martin W.; Shalev, Aner
44
2005
Fuchsian groups, finite simple groups and representation varieties. Zbl 1134.20059
Liebeck, Martin W.; Shalev, Aner
40
2005
On conjugacy classes of maximal subgroups of finite simple groups, and a related zeta function. Zbl 1103.20010
Liebeck, Martin W.; Martin, Benjamin M. S.; Shalev, Aner
17
2005
Maximal subgroups of large rank in exceptional groups of Lie type. Zbl 1073.20006
Liebeck, Martin W.; Seitz, Gary M.
7
2005
Fuchsian groups, coverings of Riemann surfaces, subgroup growth, random quotients and random walks. Zbl 1068.20052
Liebeck, Martin W.; Shalev, Aner
39
2004
The maximal subgroups of positive dimension in exceptional algebraic groups. Zbl 1058.20040
Liebeck, Martin W.; Seitz, Gary M.
33
2004
Irreducible subgroups of algebraic groups. Zbl 1065.20062
Liebeck, Martin W.; Testerman, Donna M.
14
2004
Subgroups of exceptional algebraic groups which are irreducible on an adjoint or minimal module. Zbl 1058.20037
Liebeck, Martin W.; Seitz, Gary M.
8
2004
The number of homomorphisms from a finite group to a general linear group. Zbl 1074.20016
Liebeck, Martin W.; Shalev, Aner
2
2004
A survey of maximal subgroups of exceptional groups of Lie type. Zbl 1032.20010
Liebeck, Martin W.; Seitz, Gary M.
19
2003
Variations on a theme of Steinberg. Zbl 1054.20026
Liebeck, Martin W.; Seitz, Gary M.
12
2003
Residual properties of the modular group and other free products. Zbl 1034.20025
Liebeck, Martin W.; Shalev, Aner
4
2003
Bases of primitive permutation groups. Zbl 1047.20002
Liebeck, Martin W.; Shalev, Aner
3
2003
Fixed point ratios in actions of finite exceptional groups of Lie type. Zbl 1058.20001
Lawther, Ross; Liebeck, Martin W.; Seitz, Gary M.
29
2002
Fixed point spaces in actions of exceptional algebraic groups. Zbl 1058.20039
Lawther, Ross; Liebeck, Martin W.; Seitz, Gary M.
13
2002
Random \((r,s)\)-generation of finite classical groups. Zbl 1046.20046
Liebeck, Martin W.; Shalev, Aner
13
2002
Bases of primitive linear groups. Zbl 1034.20001
Liebeck, Martin W.; Shalev, Aner
11
2002
Primitive permutation groups with a common suborbit, and edge-transitive graphs. Zbl 1022.20003
Liebeck, Martin W.; Praeger, Cheryl E.; Saxl, Jan
2
2002
Representations and characters of groups. 2nd ed. Zbl 0981.20004
James, Gordon; Liebeck, Martin
80
2001
Diameters of finite simple groups: sharp bounds and applications. Zbl 1003.20014
Liebeck, Martin W.; Shalev, Aner
55
2001
Finite linear groups and bounded generation. Zbl 1017.20039
Liebeck, Martin W.; Pyber, L.
15
2001
Transitive subgroups of primitive permutation groups. Zbl 0972.20001
Liebeck, Martin W.; Praeger, Cheryl E.; Saxl, Jan
43
2000
A concise introduction to pure mathematics. Zbl 0969.00001
Liebeck, Martin
1
2000
Simple groups, permutation groups, and probability. Zbl 0916.20003
Liebeck, Martin W.; Shalev, Aner
47
1999
On finite subgroups of exceptional algebraic groups. Zbl 0980.20034
Liebeck, Martin W.; Seitz, Gary M.
27
1999
Random generation of finite simple groups. Zbl 0948.20052
Guralnick, Robert M.; Liebeck, Martin W.; Saxl, Jan; Shalev, Aner
8
1999
Subgroups of simple algebraic groups containing elements of fundamental subgroups. Zbl 0939.20049
Liebeck, Martin W.; Seitz, Gary M.
3
1999
On the subgroup structure of exceptional groups of Lie type. Zbl 0905.20031
Liebeck, Martin W.; Seitz, Gary M.
29
1998
On the subgroup structure of classical groups. Zbl 0920.20039
Liebeck, Martin W.; Seitz, Gary M.
28
1998
The classification of finite linear spaces with flag-transitive automorphism groups of affine type. Zbl 0918.51009
Liebeck, Martin W.
21
1998
On the diameter of a Cayley graph of a simple group of Lie type based on a conjugacy class. Zbl 0911.05035
Lawther, R.; Liebeck, Martin W.
13
1998
Subgroups of exceptional groups. Zbl 0919.20030
Liebeck, Martin W.
2
1998
Introduction to the subgroup structure of algebraic groups. Zbl 0920.20038
Liebeck, Martin W.
2
1998
Upper bounds for the number of conjugacy classes of a finite group. Zbl 0892.20017
Liebeck, Martin W.; Pyber, László
29
1997
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
On the genus of a finite classical group. Zbl 0885.20002
Liebeck, Martin W.; Wayman Purvis, Chris
1
1997
Classical groups, probabilistic methods, and the \((2,3)\)-generation problem. Zbl 0865.20020
Liebeck, Martin W.; Shalev, Aner
58
1996
Reductive subgroups of exceptional algebraic groups. Zbl 0851.20045
Liebeck, Martin W.; Seitz, Gary M.
52
1996
Simple groups, probabilistic methods, and a conjecture of Kantor and Lubotzky. Zbl 0870.20014
Liebeck, Martin W.; Shalev, Aner
30
1996
On factorizations of almost simple groups. Zbl 0862.20016
Liebeck, Martin W.; Praeger, Cheryl E.; Saxl, Jan
19
1996
Maximal subgroups of symmetric groups. Zbl 0866.20003
Liebeck, Martin W.; Shalev, Aner
16
1996
Simple subgroups of large rank in groups of Lie type. Zbl 0855.20040
Liebeck, Martin W.; Saxl, Jan; Testerman, Donna M.
14
1996
Factorizations of simple algebraic groups. Zbl 0848.20032
Liebeck, Martin W.; Saxl, Jan; Seitz, Gary M.
12
1996
Regular orbits of linear groups. Zbl 0901.20006
Liebeck, Martin W.
10
1996
Characterization of classical groups by orbit sizes on the natural module. Zbl 0862.20033
Liebeck, Martin W.
5
1996
The probability of generating a finite simple group. Zbl 0836.20068
Liebeck, Martin W.; Shalev, Aner
65
1995
Subgroups of simple algebraic groups and of related finite and locally finite groups of Lie type. Zbl 0840.20020
Liebeck, M. W.
4
1995
Subgroups generated by root elements in groups of Lie type. Zbl 0824.20041
Liebeck, Martin W.; Seitz, Gary M.
33
1994
Representations and characters of groups. Zbl 0792.20006
James, Gordon; Liebeck, Martin
75
1993
Subgroups of maximal rank in finite exceptional groups of Lie type. Zbl 0776.20012
Liebeck, Martin W.; Saxl, Jan; Seitz, Gary M.
93
1992
Generators for finite simple groups, with applications to linear groups. Zbl 0780.20020
Hall, J. I.; Liebeck, Martin W.; Seitz, Gary M.
15
1992
Affine distance-transitive groups with alternating or symmetric point stabiliser. Zbl 0770.05057
Liebeck, Martin W.; Praeger, Cheryl E.
6
1992
Maximal subgroups of finite simple groups and their automorphism groups. Zbl 0776.20005
Liebeck, Martin W.; Saxl, Jan
3
1992
Groups, combinatorics and geometry. Proceedings of the L.M.S. Durham symposium, held July 5-15, 1990 in Durham, UK. Zbl 0762.00006
Liebeck, Martin (ed.); Saxl, Jan (ed.)
2
1992
The local maximal subgroups of exceptional groups of Lie type, finite and algebraic. Zbl 0706.20037
Cohen, A. M.; Liebeck, M. W.; Saxl, J.; Seitz, G. M.
56
1991
Minimal degrees of primitive permutation groups, with an application to monodromy groups of covers of Riemann surfaces. Zbl 0696.20004
Liebeck, Martin W.; Saxl, Jan
50
1991
On point stabilizers in primitive permutation groups. Zbl 0731.20003
Liebeck, Martin W.; Saxl, Jan
7
1991
...and 30 more Documents
all top 5

Cited by 1,389 Authors

85 Praeger, Cheryl Elisabeth
65 Liebeck, Martin Walter
64 Tiep Pham Huu
62 Guralnick, Robert Michael
59 Shalev, Aner
45 Li, Caiheng
39 Burness, Timothy C.
36 Lucchini, Andrea
35 Spiga, Pablo
32 Saxl, Jan
31 Giudici, Michael
29 Zhou, Shenglin
24 Zalesski, Alexandre Efimovich
22 Maróti, Attila
22 Revin, Danila Olegovitch
21 Navarro, Gabriel
19 Maslova, Natal’ya Vladimirovna
18 Kondrat’ev, Anatoliĭ Semenovich
18 Seress, Ákos
17 Larsen, Michael Jeffrey
17 O’Brien, Eamonn A.
17 Vavilov, Nikolaĭ Aleksandrovich
16 Bamberg, John
16 Cameron, Peter Jephson
16 Kantor, William M.
16 Li, Xianhua
15 Cossidente, Antonio
15 Liu, Weijun
15 Magaard, Kay
15 Schneider, Csaba
14 Lubotzky, Alexander
14 Pellegrini, Marco Antonio
14 Pyber, László
13 Fang, Xingui
13 Roney-Dougal, Colva M.
13 Vasil’ev, Andreĭ Viktorovich
12 Gordeev, Nikolai L.
12 Guest, Simon D.
12 Lu, Zaiping
12 Röhrle, Gerhard E.
12 Testerman, Donna M.
11 Abhyankar, Shreeram Shankar
11 An, Jianbei
11 Bate, Michael Edward
11 Kunyavskiĭ, Boris Èmmanuilovich
11 Marušič, Dragan
10 Alavi, Seyed Hassan
10 Gill, Nick
10 Kazarin, Lev S.
10 Marion, Claude
10 Nikolov, Nikolay Valeriev
10 Shumyatsky, Pavel
10 Wang, Jie
9 Ahanjideh, Neda
9 Araújo, João
9 Li, Huiling
9 Malle, Gunter
9 Martin, Benjamin M. S.
9 Seitz, Gary M.
9 Verret, Gabriel
9 Xia, Binzhou
9 Xu, Mingyao
9 Zavarnitsine, Andrei V.
8 Aschbacher, Michael George
8 Ashrafi, Ali Reza
8 Babai, László
8 Baddeley, Robert W.
8 Bannai, Eiichi
8 Dempwolff, Ulrich
8 Devillers, Alice
8 Di Martino, Lino
8 Garonzi, Martino
8 Holt, Derek F.
8 Montinaro, Alessandro
8 Niemeyer, Alice C.
8 Pate, Thomas H.
8 Thomas, Adam R.
8 Zhan, Xiaoqin
7 Avni, Nir
7 Daneshkhah, Ashraf
7 Delandtsheer, Anne
7 Du, Shaofei
7 Gagola, Stephen M. III
7 Glasby, Stephen Peter
7 Gluck, David
7 Hulpke, Alexander Jörg
7 Li, Shangzhao
7 Morgan, Luke
7 Morigi, Marta
7 Muzychuk, Mikhail E.
7 Penttila, Tim
7 Ponomarenko, Ilya Nikolaevich
7 Stewart, David I.
7 Thom, Andreas Berthold
7 Vdovin, Evgeniĭ Petrovich
6 Bentz, Wolfram
6 Biliotti, Mauro
6 Detomi, Eloisa
6 Dietrich, Heiko
6 Dong, HuiLi
...and 1,289 more Authors
all top 5

Cited in 230 Serials

346 Journal of Algebra
96 Communications in Algebra
69 Transactions of the American Mathematical Society
64 Journal of Combinatorial Theory. Series A
59 Journal of Group Theory
52 Israel Journal of Mathematics
48 Discrete Mathematics
38 European Journal of Combinatorics
37 Designs, Codes and Cryptography
35 Journal of Algebraic Combinatorics
34 Journal of Pure and Applied Algebra
30 Proceedings of the American Mathematical Society
29 Proceedings of the Steklov Institute of Mathematics
26 Advances in Mathematics
25 Algebra and Logic
24 Linear Algebra and its Applications
22 Archiv der Mathematik
22 Journal of Combinatorial Theory. Series B
21 Journal of Algebra and its Applications
20 Siberian Mathematical Journal
20 Journal of Mathematical Sciences (New York)
18 Journal of the Australian Mathematical Society
16 Mathematische Zeitschrift
15 Bulletin of the Australian Mathematical Society
14 International Journal of Algebra and Computation
13 Mathematical Proceedings of the Cambridge Philosophical Society
13 Inventiones Mathematicae
13 Monatshefte für Mathematik
13 St. Petersburg Mathematical Journal
12 Journal of Combinatorial Designs
12 Journal of the European Mathematical Society (JEMS)
11 Memoirs of the American Mathematical Society
11 Annals of Mathematics. Second Series
11 LMS Journal of Computation and Mathematics
11 International Journal of Group Theory
10 Annali di Matematica Pura ed Applicata. Serie Quarta
10 Graphs and Combinatorics
10 Journal of Symbolic Computation
9 Journal of the American Mathematical Society
9 Bulletin of the American Mathematical Society. New Series
9 Finite Fields and their Applications
8 Duke Mathematical Journal
8 Geometriae Dedicata
8 Science in China. Series A
8 Transformation Groups
8 Science China. Mathematics
8 Forum of Mathematics, Sigma
7 Linear and Multilinear Algebra
7 Journal of Geometry
7 Journal of Number Theory
7 Acta Mathematica Sinica. English Series
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 Groups, Geometry, and Dynamics
6 Mathematics of Computation
6 Applied Mathematics and Computation
6 Mathematische Annalen
6 Annals of Pure and Applied Logic
6 The Electronic Journal of Combinatorics
6 Advances in Geometry
6 Frontiers of Mathematics in China
5 Mathematical Notes
5 Combinatorica
5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
5 Representation Theory
4 Annales de l’Institut Fourier
4 Compositio Mathematica
4 Glasgow Mathematical Journal
4 Michigan Mathematical Journal
4 Proceedings of the London Mathematical Society. Third Series
4 Rendiconti del Seminario Matematico della Università di Padova
4 Journal de Théorie des Nombres de Bordeaux
4 Doklady Mathematics
4 Algebras and Representation Theory
4 Quantum Information Processing
4 Sibirskie Èlektronnye Matematicheskie Izvestiya
4 Asian-European Journal of Mathematics
4 Ars Mathematica Contemporanea
4 Japanese Journal of Mathematics. 3rd Series
4 Forum of Mathematics, Pi
3 Communications in Mathematical Physics
3 Discrete Applied Mathematics
3 Journal of Mathematical Physics
3 Fundamenta Mathematicae
3 Journal of Graph Theory
3 Journal für die Reine und Angewandte Mathematik
3 Manuscripta Mathematica
3 Pacific Journal of Mathematics
3 Results in Mathematics
3 Semigroup Forum
3 Advances in Applied Mathematics
3 Acta Applicandae Mathematicae
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Experimental Mathematics
3 Turkish Journal of Mathematics
3 Journal of Lie Theory
3 Algebraic & Geometric Topology
3 Central European Journal of Mathematics
2 International Journal of Solids and Structures
2 International Journal of Theoretical Physics
2 Beiträge zur Algebra und Geometrie
...and 130 more Serials
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Cited in 49 Fields

1,429 Group theory and generalizations (20-XX)
448 Combinatorics (05-XX)
121 Geometry (51-XX)
114 Number theory (11-XX)
87 Algebraic geometry (14-XX)
56 Linear and multilinear algebra; matrix theory (15-XX)
54 Associative rings and algebras (16-XX)
49 Nonassociative rings and algebras (17-XX)
45 Computer science (68-XX)
44 Topological groups, Lie groups (22-XX)
36 Field theory and polynomials (12-XX)
31 Information and communication theory, circuits (94-XX)
26 Mathematical logic and foundations (03-XX)
22 Quantum theory (81-XX)
19 Order, lattices, ordered algebraic structures (06-XX)
19 Probability theory and stochastic processes (60-XX)
15 Manifolds and cell complexes (57-XX)
12 Abstract harmonic analysis (43-XX)
12 Functional analysis (46-XX)
11 Commutative algebra (13-XX)
11 Algebraic topology (55-XX)
10 Harmonic analysis on Euclidean spaces (42-XX)
9 Category theory; homological algebra (18-XX)
9 \(K\)-theory (19-XX)
9 Special functions (33-XX)
8 General algebraic systems (08-XX)
7 Functions of a complex variable (30-XX)
7 Convex and discrete geometry (52-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Dynamical systems and ergodic theory (37-XX)
5 Differential geometry (53-XX)
5 Statistics (62-XX)
4 General and overarching topics; collections (00-XX)
4 Operator theory (47-XX)
4 Numerical analysis (65-XX)
4 Mechanics of deformable solids (74-XX)
3 Partial differential equations (35-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 History and biography (01-XX)
2 Ordinary differential equations (34-XX)
2 Approximations and expansions (41-XX)
2 General topology (54-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Biology and other natural sciences (92-XX)
1 Relativity and gravitational theory (83-XX)
1 Operations research, mathematical programming (90-XX)
1 Systems theory; control (93-XX)
1 Mathematics education (97-XX)

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