Generation by Conjugate Elements of Finite Almost Simple Groups With a Sporadic Socle

被引：0

作者：

Revin, Danila O. ^{[1
]}

Zavarnitsine, Andrei, V ^{[2
]}

机构：

[1] Siberian Fed Univ, Krasnoyarsk, Russia

[2] RAS, Sobolev Inst Math, SB, Novosibirsk, Russia

来源：

BULLETIN OF IRKUTSK STATE UNIVERSITY-SERIES MATHEMATICS | 2024年 / 49卷

基金：

俄罗斯科学基金会;

关键词：

sporadic group; Fischer group; conjugacy; generators; Baer-Suzuki theorem; BAER-SUZUKI THEOREM;

D O I：

10.26516/1997-7670.2024.49.135

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the minimum number of elements in the conjugacy class of an automorphism of a sporadic simple group that generate a subgroup containing all inner automorphisms. These results refine the estimates obtained earlier in the papers by Guralnick and Saxl and by Di Martino, Pellegrini, and Zalesski.

引用

页码：135 / 142

页数：8

共 50 条

[31] GROUPS WITH THE SAME CHARACTER DEGREES AS SPORADIC ALMOST SIMPLE GROUPS
Alavi, Seyed Hassan
Daneshkhah, Ashraf
Jafari, Ali
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2016, 94 (02) : 254 - 265
[32] ON THOMPSON'S CONJECTURE FOR ALMOST SPORADIC SIMPLE GROUPS
Wang, Lingli
Shi, Wujie
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2014, 13 (02)
[33] Almost simple groups with socle Ln(q) acting on Steiner quadruple systems
Huber, Michael
JOURNAL OF COMBINATORIAL THEORY SERIES A, 2010, 117 (07) : 1004 - 1007
[34] GENERATION OF ALMOST SIMPLE-GROUPS
DALLAVOLTA, F
LUCCHINI, A
JOURNAL OF ALGEBRA, 1995, 178 (01) : 194 - 223
[35] Sporadic finite simple groups and block designs
Zhang, Xiaohong
Zhou, Shenglin
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2018, 25 (04) : 495 - 506
[36] Almost simple groups with socle PSL(2, q) acting on abstract regular polytopes
Connor, Thomas
De Saedeleer, Julie
Leemans, Dimitri
JOURNAL OF ALGEBRA, 2015, 423 : 550 - 558
[37] Biplanes with flag-transitive automorphism groups of almost simple type, with classical socle
Eugenia O’Reilly-Regueiro
Journal of Algebraic Combinatorics, 2007, 26 : 529 - 552
[38] Carter subgroups of finite almost simple groups
Vdovin, E. P.
ALGEBRA AND LOGIC, 2007, 46 (02) : 90 - 119
[39] Carter subgroups of finite almost simple groups
E. P. Vdovin
Algebra and Logic, 2007, 46 : 90 - 119
[40] Almost simple groups with the socle PSL(2, pn) are determined by their complex group algebras
Heydari, Somayeh
Ahanjideh, Neda
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2017, 91 (3-4): : 467 - 487

← 1 2 3 4 5 →