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

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