-
1
-
-
84972534370
-
Involutions in Chevalley groups over fields of even order
-
Zbl 0359.20014 MR 0422401
-
Aschbacher, M., Seitz, G. M.: Involutions in Chevalley groups over fields of even order. Nagoya Math. J. 63, 1-91 (1976) Zbl 0359.20014 MR 0422401
-
(1976)
Nagoya Math. J.
, vol.63
, pp. 1-91
-
-
Aschbacher, M.1
Seitz, G.M.2
-
2
-
-
0040257417
-
A fixed-point theorem for central elements in quasisimple groups
-
Zbl 0816.20017 MR 1254833
-
Blau, H.: A fixed-point theorem for central elements in quasisimple groups. Proc. Amer. Math. Soc. 122, 79-84 (1994) Zbl 0816.20017 MR 1254833
-
(1994)
Proc. Amer. Math. Soc.
, vol.122
, pp. 79-84
-
-
Blau, H.1
-
3
-
-
85184381311
-
Über Kommutatoren in endlichen einfachen Gruppen
-
Verlag der Augustinus-Buchhandlung, Aachen, Zbl 0837.20022
-
Bonten, O.: Über Kommutatoren in endlichen einfachen Gruppen. Aachener Beiträge zur Math. 7, Verlag der Augustinus-Buchhandlung, Aachen (1993) Zbl 0837.20022
-
(1993)
Aachener Beiträge Zur Math.
, vol.7
-
-
Bonten, O.1
-
4
-
-
0031232428
-
The Magma algebra system I: The user language
-
Zbl 0898.68039 MR 1484478
-
Bosma, W., Cannon, J., Playoust, C.: The Magma algebra system I: The user language. J. Symbolic Comput. 24, 235-265 (1997) Zbl 0898.68039 MR 1484478
-
(1997)
J. Symbolic Comput.
, vol.24
, pp. 235-265
-
-
Bosma, W.1
Cannon, J.2
Playoust, C.3
-
5
-
-
33646590960
-
Computing conjugacy class representatives in permutation groups
-
Zbl 1096.20005 MR 2228644
-
Cannon, J. J., Holt, D. F.: Computing conjugacy class representatives in permutation groups. J. Algebra 300, 213-222 (2006) Zbl 1096.20005 MR 2228644
-
(2006)
J. Algebra
, vol.300
, pp. 213-222
-
-
Cannon, J.J.1
Holt, D.F.2
-
6
-
-
0003228554
-
Finite groups of lie type: Conjugacy classes and complex characters
-
Zbl 0567.20023 MR 0794307
-
Carter, R. W.: Finite Groups of Lie Type: Conjugacy Classes and Complex Characters. Wiley Interscience (1985) Zbl 0567.20023 MR 0794307
-
(1985)
Wiley Interscience
-
-
Carter, R.W.1
-
7
-
-
21844515117
-
Generating random elements of a finite group
-
Zbl 0836.20094 MR 1356111
-
Celler, F., Leedham-Green, C. R., Murray, S. H., Niemeyer, A. C., O'Brien, E. A.: Generating random elements of a finite group. Comm. Algebra 23, 4931-4948 (1995) Zbl 0836.20094 MR 1356111
-
(1995)
Comm. Algebra
, vol.23
, pp. 4931-4948
-
-
Celler, F.1
Leedham-Green, C.R.2
Murray, S.H.3
Niemeyer, A.C.4
O'Brien, E.A.5
-
8
-
-
0003863325
-
-
Oxford University Press, Zbl 0568.20001 MR 0827219
-
Conway, J. H., Curtis, R. T., Norton, S. P., Parker, R. A., Wilson, R. A.: Atlas of Finite Groups. Oxford University Press (1985) Zbl 0568.20001 MR 0827219
-
(1985)
Atlas of Finite Groups
-
-
Conway, J.H.1
Curtis, R.T.2
Norton, S.P.3
Parker, R.A.4
Wilson, R.A.5
-
9
-
-
84972487935
-
8
-
Zbl 0534.20031 MR 0707848
-
8. Tokyo J. Math. 6, 191-216 (1983) Zbl 0534.20031 MR 0707848
-
(1983)
Tokyo J. Math.
, vol.6
, pp. 191-216
-
-
Deriziotis, D.I.1
-
10
-
-
0003245714
-
Representations of finite groups of lie type
-
Cambridge Univ. Press, Zbl 0815.20014 MR 1118841
-
Digne, F., Michel, J.: Representations of Finite Groups of Lie Type. London Math. Soc. Student Texts 21, Cambridge Univ. Press (1991) Zbl 0815.20014 MR 1118841
-
(1991)
London Math. Soc. Student Texts 21
-
-
Digne, F.1
Michel, J.2
-
11
-
-
0003960757
-
-
Dekker New York, Zbl 0236.20004 MR 0347959 and MR 0347960
-
Dornhoff, L.: Group Representation Theory. Dekker, New York (1972) Zbl 0236.20004 MR 0347959 and MR 0347960
-
(1972)
Group Representation Theory
-
-
Dornhoff, L.1
-
12
-
-
22044447684
-
On the conjectures of J. Thompson and O. Ore.
-
Zbl 0910.20007 MR 1422600
-
Ellers, E. W., Gordeev, N.: On the conjectures of J. Thompson and O. Ore. Trans. Amer. Math. Soc. 350, 3657-3671 (1998) Zbl 0910.20007 MR 1422600
-
(1998)
Trans. Amer. Math. Soc.
, vol.350
, pp. 3657-3671
-
-
Ellers, E.W.1
Gordeev, N.2
-
13
-
-
0013169242
-
On the characters of the finite unitary groups
-
Zbl 0109.26001 MR 0156900
-
Ennola, V.: On the characters of the finite unitary groups. Ann. Acad. Sci. Fenn. Ser. A I 323 (1963) Zbl 0109.26001 MR 0156900
-
(1963)
Ann. Acad. Sci. Fenn. Ser. A i 323
-
-
Ennola, V.1
-
16
-
-
0039073609
-
Über Gruppencharaktere
-
reprinted in Gesammelte Abhandlungen, Springer, Heidelberg, 1-37, JFM 27.0092.01 [ 17] Fulman, J., Guralnick, R. M.: Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements. arXiv:0902.2238
-
Frobenius, F. G.: Über Gruppencharaktere. Sitzber. Preuss. Akad. Wiss. 1896, 985-1021; reprinted in Gesammelte Abhandlungen, Vol.3, Springer, Heidelberg, 1-37 (1968) JFM 27.0092.01 [ 17] Fulman, J., Guralnick, R. M.: Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements. arXiv:0902.2238
-
(1968)
Sitzber. Preuss. Akad. Wiss. 1896
, vol.3
, pp. 985-1021
-
-
Frobenius, F.G.1
-
17
-
-
85184380475
-
-
The GAP Group, GAP - Groups, Algorithms, and Programming. Version 4.4.9
-
The GAP Group, GAP - Groups, Algorithms, and Programming. Version 4.4.9, 2006, http://www.gap-system.org
-
(2006)
-
-
-
18
-
-
72149134266
-
Commutator maps, measure preservation, and T-systems
-
Zbl 1182.20015 MR 2506422
-
Garion, S., Shalev, A.: Commutator maps, measure preservation, and T-systems. Trans. Amer. Math. Soc. 361, 4631-4651 (2009) Zbl 1182.20015 MR 2506422
-
(2009)
Trans. Amer. Math. Soc.
, vol.361
, pp. 4631-4651
-
-
Garion, S.1
Shalev, A.2
-
19
-
-
0002271723
-
Weil representations associated to finite fields
-
Zbl 0359.20008 MR 0460477
-
Gerardin, P.: Weil representations associated to finite fields. J. Algebra 46, 54-101 (1977) Zbl 0359.20008 MR 0460477
-
(1977)
J. Algebra
, vol.46
, pp. 54-101
-
-
Gerardin, P.1
-
20
-
-
0001525996
-
Sharper character value estimates for groups of Lie type
-
Zbl 0842.20014 MR 1332870
-
Gluck, D.: Sharper character value estimates for groups of Lie type. J. Algebra 174, 229-266 (1995) Zbl 0842.20014 MR 1332870
-
(1995)
J. Algebra
, vol.174
, pp. 229-266
-
-
Gluck, D.1
-
21
-
-
0001552445
-
Commutators in the symplectic group
-
Zbl 0628.20037 MR 0933912
-
Gow, R.: Commutators in the symplectic group. Arch. Math. (Basel) 50, 204-209 (1988) Zbl 0628.20037 MR 0933912
-
(1988)
Arch. Math. (Basel)
, vol.50
, pp. 204-209
-
-
Gow, R.1
-
22
-
-
0040735995
-
Commutators in finite simple groups of Lie type
-
Zbl 1021.20012 MR 1750469
-
Gow, R.: Commutators in finite simple groups of Lie type. Bull. London Math. Soc. 32, 311-315 (2000) Zbl 1021.20012 MR 1750469
-
(2000)
Bull. London Math. Soc.
, vol.32
, pp. 311-315
-
-
Gow, R.1
-
23
-
-
10044282732
-
Cross characteristic representations of even characteristic symplectic groups
-
Zbl 1062.20013 MR 2084408
-
Guralnick, R., Tiep, P. H.: Cross characteristic representations of even characteristic symplectic groups. Trans. Amer. Math. Soc. 356, 4969-5023 (2004) Zbl 1062.20013 MR 2084408
-
(2004)
Trans. Amer. Math. Soc.
, vol.356
, pp. 4969-5023
-
-
Guralnick, R.1
Tiep, P.H.2
-
24
-
-
12744252029
-
Nilpotency in classical groups over a field of characteristic 2
-
Zbl 0387.20038 MR 0525621
-
Hesselink, W. H.: Nilpotency in classical groups over a field of characteristic 2. Math. Z. 166, 165-181 (1979) Zbl 0387.20038 MR 0525621
-
(1979)
Math. Z.
, vol.166
, pp. 165-181
-
-
Hesselink, W.H.1
-
25
-
-
0003439181
-
The subgroup structure of the finite classical groups
-
Cambridge Univ. Press, Zbl 0697.20004 MR 1057341
-
Kleidman, P. B., Liebeck, M. W.: The Subgroup Structure of the Finite Classical Groups. London Math. Soc. Lecture Note Ser. 129, Cambridge Univ. Press (1990) Zbl 0697.20004 MR 1057341
-
(1990)
London Math. Soc. Lecture Note Ser. 129
-
-
Kleidman, P.B.1
Liebeck, M.W.2
-
26
-
-
84963017635
-
Subgroups of maximal rank in finite exceptional groups of Lie type
-
Zbl 0776.20012 MR 1168190
-
Liebeck, M. W., Saxl, J., Seitz, G. M.: Subgroups of maximal rank in finite exceptional groups of Lie type. Proc. London Math. Soc. 65, 297-325 (1992) Zbl 0776.20012 MR 1168190
-
(1992)
Proc. London Math. Soc.
, vol.65
, pp. 297-325
-
-
Liebeck, M.W.1
Saxl, J.2
Seitz, G.M.3
-
27
-
-
0000894957
-
Subgroups generated by root subgroups in groups of Lie type
-
Zbl 0824.20041 MR 1274094
-
Liebeck, M. W., Seitz, G. M.: Subgroups generated by root subgroups in groups of Lie type. Ann. of Math. 139, 293-361 (1994) Zbl 0824.20041 MR 1274094
-
(1994)
Ann. of Math.
, vol.139
, pp. 293-361
-
-
Liebeck, M.W.1
Seitz, G.M.2
-
28
-
-
0030144710
-
Reductive subgroups of exceptional algebraic groups
-
Zbl 0851.20045 MR 1329942
-
Liebeck, M. W., Seitz, G. M.: Reductive subgroups of exceptional algebraic groups. Mem. Amer. Math. Soc. 121, no.580 (1996) Zbl 0851.20045 MR 1329942
-
(1996)
Mem. Amer. Math. Soc.
, vol.121
, Issue.580
-
-
Liebeck, M.W.1
Seitz, G.M.2
-
30
-
-
28144454420
-
Character degrees and random walks in finite groups of Lie type
-
Zbl 1077.20020 MR 2107038
-
Liebeck, M. W., Shalev, A.: Character degrees and random walks in finite groups of Lie type. Proc. London Math. Soc. 90, 61-86 (2005) Zbl 1077.20020 MR 2107038
-
(2005)
Proc. London Math. Soc.
, vol.90
, pp. 61-86
-
-
Liebeck, M.W.1
Shalev, A.2
-
31
-
-
0035648798
-
Smallest degrees of representations of exceptional groups of Lie type
-
DOI 10.1081/AGB-100002175
-
Lubeck, F.: Smallest degrees of representations of exceptional groups of Lie type. Comm. Algebra 29, 2147-2169 (2001) Zbl 1004.20003 MR 1837968 (Pubitemid 33392076)
-
(2001)
Communications in Algebra
, vol.29
, Issue.5
, pp. 2147-2169
-
-
Lubeck, F.1
-
34
-
-
84972490990
-
8
-
Zbl 0454.20046 MR 0605099
-
8. Tokyo J. Math. 3, 391-461, (1980) Zbl 0454.20046 MR 0605099
-
(1980)
Tokyo J. Math.
, vol.3
, pp. 391-461
-
-
Mizuno, K.1
-
35
-
-
77952883947
-
Degrees of rational characters of finite groups
-
Zblpre05712556
-
Navarro, G., Tiep, P. H.: Degrees of rational characters of finite groups. Adv. Math. 224, 1121-1142(2010) Zblpre05712556
-
(2010)
Adv. Math.
, vol.224
, pp. 1121-1142
-
-
Navarro, G.1
Tiep, P.H.2
-
36
-
-
0002885942
-
Each sporadic finasig G has a class C such that CC = G
-
Neubüser, J., Pahlings, H., Cleuvers, E.: Each sporadic finasig G has a class C such that CC = G. Abstracts Amer. Math. Soc. 34, 6 (1984)
-
(1984)
Abstracts Amer. Math. Soc.
, vol.34
, pp. 6
-
-
Neubüser, J.1
Pahlings, H.2
Cleuvers, E.3
-
37
-
-
77951020272
-
Low-dimensional complex characters of the symplectic and orthogonal groups
-
Zbl pre05710456
-
Nguyen, H. N.: Low-dimensional complex characters of the symplectic and orthogonal groups. Comm. Algebra 38, 1157-1197 (2010) Zbl pre05710456
-
(2010)
Comm. Algebra
, vol.38
, pp. 1157-1197
-
-
Nguyen, H.N.1
-
39
-
-
84968516156
-
Some remarks on commutators
-
Zbl 0043.02402 MR 0040298
-
Ore, O.: Some remarks on commutators. Proc. Amer. Math. Soc. 2, 307-314 (1951) Zbl 0043.02402 MR 0040298
-
(1951)
Proc. Amer. Math. Soc.
, vol.2
, pp. 307-314
-
-
Ore, O.1
-
40
-
-
71749090468
-
Word maps, conjugacy classes, and a noncommutative Waring-type theorem
-
Zbl pre05710189
-
Shalev, A.: Word maps, conjugacy classes, and a noncommutative Waring-type theorem. Ann. of Math. 170, 1383-1416 (2009) Zbl pre05710189
-
(2009)
Ann. of Math.
, vol.170
, pp. 1383-1416
-
-
Shalev, A.1
-
41
-
-
23944471845
-
Rank 3 permutation modules for finite classical groups
-
Zbl 1087.20013 MR 2163483
-
Sin, P., Tiep, P. H.: Rank 3 permutation modules for finite classical groups. J. Algebra 291, 551-606 (2005) Zbl 1087.20013 MR 2163483
-
(2005)
J. Algebra
, vol.291
, pp. 551-606
-
-
Sin, P.1
Tiep, P.H.2
-
42
-
-
0001285933
-
Conjugacy classes
-
Seminar on Algebraic Groups and Related Topics, A. Borel et al. (eds.), Springer, Berlin, Zbl 0249.20024 MR 0268192
-
Springer, T. A., Steinberg, R.: Conjugacy classes. In: Seminar on Algebraic Groups and Related Topics, A. Borel et al. (eds.), Lecture Notes in Math. 131, Springer, Berlin, 168-266 (1970) Zbl 0249.20024 MR 0268192
-
(1970)
Lecture Notes in Math.
, vol.131
, pp. 168-266
-
-
Springer, T.A.1
Steinberg, R.2
-
43
-
-
84968509398
-
Commutators in the special and general linear groups
-
Zbl 0109.26002 MR 0130917
-
Thompson, R. C.: Commutators in the special and general linear groups. Trans. Amer. Math. Soc. 101, 16-33 (1961) Zbl 0109.26002 MR 0130917
-
(1961)
Trans. Amer. Math. Soc.
, vol.101
, pp. 16-33
-
-
Thompson, R.C.1
-
44
-
-
33646931426
-
On matrix commutators
-
Zbl 0107.02502 MR 0147558
-
Thompson, R. C.: On matrix commutators. Portugal. Math. 21, 143-153 (1962) Zbl 0107.02502 MR 0147558
-
(1962)
Portugal. Math.
, vol.21
, pp. 143-153
-
-
Thompson, R.C.1
-
45
-
-
84972537306
-
Commutators of matrices with coefficients from the field of two elements
-
Zbl 0108.01201 MR 0140584
-
Thompson, R. C.: Commutators of matrices with coefficients from the field of two elements. Duke Math. J. 29, 367-373 (1962) Zbl 0108.01201 MR 0140584
-
(1962)
Duke Math. J.
, vol.29
, pp. 367-373
-
-
Thompson, R.C.1
-
46
-
-
0010763967
-
Minimal characters of the finite classical groups
-
Tiep, P. H., Zalesskii, A.: Minimal characters of the finite classical groups. Comm. Algebra 24, 2093-2167 (1996) Zbl 0901.20031 MR 1386030 (Pubitemid 126710904)
-
(1996)
Communications in Algebra
, vol.24
, Issue.6
, pp. 2093-2167
-
-
Tiep, P.H.1
Zalesskii, A.E.2
-
47
-
-
0031165068
-
Some characterizations of the Weil representations of the symplectic and unitary groups
-
Zbl 0877.20030 MR 1449955
-
Tiep, P. H., Zalesskii, A. E.: Some characterizations of the Weil representations of the symplectic and unitary groups. J. Algebra 192, 130-165 (1997) Zbl 0877.20030 MR 1449955
-
(1997)
J. Algebra
, vol.192
, pp. 130-165
-
-
Tiep, P.H.1
Zalesskii, A.E.2
-
48
-
-
33746894227
-
Computing the character table of a finite group
-
Zbl 1125.20006 MR 2246713
-
Unger, W. R.: Computing the character table of a finite group. J. Symbolic Comput. 41, 847-862(2006) Zbl 1125.20006 MR 2246713
-
(2006)
J. Symbolic Comput.
, vol.41
, pp. 847-862
-
-
Unger, W.R.1
-
49
-
-
84916692195
-
On the conjugacy classes in the unitary, symplectic and orthogonal groups
-
Zbl 0122.28102 MR 0150210
-
Wall, G. E.: On the conjugacy classes in the unitary, symplectic and orthogonal groups. J. Austral. Math. Soc. 3, 1-62 (1965) Zbl 0122.28102 MR 0150210
-
(1965)
J. Austral. Math. Soc.
, vol.3
, pp. 1-62
-
-
Wall, G.E.1
|