-
1
-
-
0002245914
-
-
Springer-Verlag, New York
-
Z. ARAD and M. HERZOG (eds.), Products of Conjugacy Classes in Groups, Lecture Notes in Math. 1112, Springer-Verlag, New York, 1985.
-
(1985)
Products of Conjugacy Classes in Groups, Lecture Notes in Math.
, vol.1112
-
-
Arad, Z.1
Herzog, M.2
-
2
-
-
84976782048
-
Local expansion of vertex transitive graphs and random generation of finite groups
-
L. BABAI, Local expansion of vertex transitive graphs and random generation of finite groups, Proc. 23rd ACM STOC (1991), 164-174.
-
(1991)
Proc. 23rd ACM STOC
, pp. 164-174
-
-
Babai, L.1
-
4
-
-
0000746379
-
n have exponent ≤ 4
-
n have exponent ≤ 4, J. Austral. Math. Soc. 25 (Ser. A) (1978), 210-214.
-
(1978)
J. Austral. Math. Soc.
, vol.25
, Issue.SER. A
, pp. 210-214
-
-
Brenner, J.L.1
-
6
-
-
21344458979
-
Nash inequalities for finite Markov chains
-
P. DIACONIS and L. SALOFF-COSTE, Nash inequalities for finite Markov chains, J. Theoret. Probab. 9 (1996), 459-510.
-
(1996)
J. Theoret. Probab.
, vol.9
, pp. 459-510
-
-
Diaconis, P.1
Saloff-Coste, L.2
-
8
-
-
0001023114
-
Covering numbers for Chevalley groups
-
E. W. ELLERS, N. GORDEEV, and M. HERZOG, Covering numbers for Chevalley groups, Israel J. Math. 111 (1999), 339-372.
-
(1999)
Israel J. Math.
, vol.111
, pp. 339-372
-
-
Ellers, E.W.1
Gordeev, N.2
Herzog, M.3
-
9
-
-
0001525996
-
Sharper character value estimates for groups of Lie type
-
D. GLUCK, Sharper character value estimates for groups of Lie type, J. Algebra 174 (1995), 229-266.
-
(1995)
J. Algebra
, vol.174
, pp. 229-266
-
-
Gluck, D.1
-
10
-
-
0031571056
-
Characters and random walks on finite classical groups
-
_, Characters and random walks on finite classical groups, Adv. Math. 129 (1997), 46-72.
-
(1997)
Adv. Math.
, vol.129
, pp. 46-72
-
-
-
11
-
-
0034670546
-
Probabilistic generation of finite simple groups
-
R. M. GURALNICK and W. M. KANTOR, Probabilistic generation of finite simple groups, J. Algebra 24 (2000), 743-792.
-
(2000)
J. Algebra
, vol.24
, pp. 743-792
-
-
Guralnick, R.M.1
Kantor, W.M.2
-
12
-
-
21344475612
-
The probability of generating a classical group
-
R. M. GURALNICK, W. M. KANTOR, and J. SAXL, The probability of generating a classical group, Comm. in Algebra 22 (1994), 1395-1402.
-
(1994)
Comm. in Algebra
, vol.22
, pp. 1395-1402
-
-
Guralnick, R.M.1
Kantor, W.M.2
Saxl, J.3
-
13
-
-
0033197213
-
Random generation of finite simple groups
-
R. M. GURALNICK, M. W. LIEBECK, J. SAXL, and A. SHALEV, Random generation of finite simple groups, J. Algebra 219 (1999), 345-355.
-
(1999)
J. Algebra
, vol.219
, pp. 345-355
-
-
Guralnick, R.M.1
Liebeck, M.W.2
Saxl, J.3
Shalev, A.4
-
15
-
-
84963048910
-
Generators for finite simple groups, with applications to linear groups
-
J. HALL, M. W. LIEBECK, and G. M. SEITZ, Generators for finite simple groups, with applications to linear groups, Quart. J. Math. 43 (1992), 441-458.
-
(1992)
Quart. J. Math.
, vol.43
, pp. 441-458
-
-
Hall, J.1
Liebeck, M.W.2
Seitz, G.M.3
-
16
-
-
84974112126
-
Varieties and simple groups
-
G. A. JONES, Varieties and simple groups, J. Austr. Math. Soc. 17 (1974), 163-173.
-
(1974)
J. Austr. Math. Soc.
, vol.17
, pp. 163-173
-
-
Jones, G.A.1
-
17
-
-
0001941330
-
The probability of generating a finite classical group
-
W. M. KANTOR and A. LUBOTZKY, The probability of generating a finite classical group, Geom. Dedcata 36 (1990), 67-87.
-
(1990)
Geom. Dedcata
, vol.36
, pp. 67-87
-
-
Kantor, W.M.1
Lubotzky, A.2
-
18
-
-
0003439182
-
-
Cambridge Univ. Press, Cambridge
-
P. KLEIDMAN and M. W. LIEBECK, The Subgroup Structure of the Finite Classical Groups, London Math. Soc. Lecture Note Series 129, Cambridge Univ. Press, Cambridge, 1990.
-
(1990)
The Subgroup Structure of the Finite Classical Groups, London Math. Soc. Lecture Note Series
, vol.129
-
-
Kleidman, P.1
Liebeck, M.W.2
-
19
-
-
0001704592
-
On the minimal degrees of projcctive representations of the finite Chevalley groups
-
V. LANDAZURI and G. M. SEITZ, On the minimal degrees of projcctive representations of the finite Chevalley groups, J. Algebra 32 (1974), 418-443.
-
(1974)
J. Algebra
, vol.32
, pp. 418-443
-
-
Landazuri, V.1
Seitz, G.M.2
-
20
-
-
0000278698
-
On the diameter of a Cayley graph of a simple group of Lie type based on a conjugacy class
-
R. LAWTHER and M. W. LIEBECK, On the diameter of a Cayley graph of a simple group of Lie type based on a conjugacy class, J. Combin. Theory, Ser. A 83 (1998), 118-137.
-
(1998)
J. Combin. Theory, Ser. A
, vol.83
, pp. 118-137
-
-
Lawther, R.1
Liebeck, M.W.2
-
21
-
-
0030585299
-
n(F)
-
n(F), J. Algebra 182 (1996), 60-84.
-
(1996)
J. Algebra
, vol.182
, pp. 60-84
-
-
Lev, A.1
-
22
-
-
0000384482
-
Upper bounds for the number of conjugacy classes of a finite group
-
M. W. LIEBECK and L. PYBER, Upper bounds for the number of conjugacy classes of a finite group, J. Algebra 198 (1997), 538-562.
-
(1997)
J. Algebra
, vol.198
, pp. 538-562
-
-
Liebeck, M.W.1
Pyber, L.2
-
23
-
-
0001056702
-
The probability of generating a finite simple group
-
M. W. LIEBECK and A. SHALEV, The probability of generating a finite simple group, Geom. Ded. 56 (1995), 103-113.
-
(1995)
Geom. Ded.
, vol.56
, pp. 103-113
-
-
Liebeck, M.W.1
Shalev, A.2
-
24
-
-
0030505005
-
Classical groups, probabilistic methods, and the (2,3)-generation problem
-
_, Classical groups, probabilistic methods, and the (2,3)-generation problem, Ann. of Math. 144 (1996), 77-125.
-
(1996)
Ann. of Math.
, vol.144
, pp. 77-125
-
-
-
25
-
-
0033472663
-
Simple groups, permutation groups, and probability
-
_, Simple groups, permutation groups, and probability, J. A. M. S. 12 (1999), 497-520.
-
(1999)
J. A. M. S.
, vol.12
, pp. 497-520
-
-
-
26
-
-
0003421887
-
-
Birkhauser-Verlag, Basel
-
A. LUBOTZKY, Discrete Groups, Expanding Graphs and Invariant Measures, Progr. Math. 125, Birkhauser-Verlag, Basel, 1995.
-
(1995)
Discrete Groups, Expanding Graphs and Invariant Measures, Progr. Math.
, vol.125
-
-
Lubotzky, A.1
-
27
-
-
0002093056
-
Cayley graphs: Eigenvalues, expanders and random walks
-
Surveys in Combinatorics (Stirling, 1995), Cambridge Univ. Press, Cambridge
-
_, Cayley graphs: eigenvalues, expanders and random walks, in Surveys in Combinatorics (Stirling, 1995), London Math. Soc. Lecture Note Series 218, 155-189, Cambridge Univ. Press, Cambridge. 1995.
-
(1995)
London Math. Soc. Lecture Note Series
, vol.218
, pp. 155-189
-
-
-
28
-
-
0007508494
-
Products of powers in finite simple groups
-
C. MARTINEZ and E. I. ZELMANOV, Products of powers in finite simple groups, Israel J. Math. 96 (1996), 469-479.
-
(1996)
Israel J. Math.
, vol.96
, pp. 469-479
-
-
Martinez, C.1
Zelmanov, E.I.2
-
29
-
-
0030502729
-
Upper bound on the characters of the symmetric groups
-
Y. ROICHMAN, Upper bound on the characters of the symmetric groups, Invent. Math. 125 (1996), 451-485.
-
(1996)
Invent. Math.
, vol.125
, pp. 451-485
-
-
Roichman, Y.1
-
31
-
-
84916692195
-
On the conjugacy classes in the unitary, symplectic and orthogonal groups
-
G. E. WALL, On the conjugacy classes in the unitary, symplectic and orthogonal groups, J. Austral. Math. Soc. 3 (1965), 1-62.
-
(1965)
J. Austral. Math. Soc.
, vol.3
, pp. 1-62
-
-
Wall, G.E.1
-
32
-
-
0007547039
-
First-order group theory
-
de Gruyter, Berlin
-
J. S. Wilson, First-order group theory, in Infinite Groups 1994, 301-314, de Gruyter, Berlin, 1996.
-
(1994)
Infinite Groups
, pp. 301-314
-
-
Wilson, J.S.1
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