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

[21] On groups with the same character degrees as almost simple groups with socle small Ree groups
Alavi, Seyed Hassan
COMMUNICATIONS IN ALGEBRA, 2023, 51 (10) : 4372 - 4381
[22] Almost simple groups with socle 3D4（q） act on finite linear spaces
LIU Weijun
Department of Mathematics
ScienceinChina(SeriesA:Mathematics), 2006, (12) : 1768 - 1776
[23] Almost simple groups with socle 3D4(q) act on finite linear spaces
Weijun Liu
Shaojun Dai
Luozhong Gong
Science in China Series A: Mathematics, 2006, 49 : 1768 - 1776
[24] Almost simple groups with socle 3D4(q) act on finite linear spaces
Liu Weijun
Dai Shaojun
Gong Luozhong
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2006, 49 (12): : 1768 - 1776
[25] Complex group algebras of almost simple groups with socle PSLn(q)
Shirjian, Farrokh
Iranmanesh, Ali
COMMUNICATIONS IN ALGEBRA, 2018, 46 (02) : 552 - 573
[26] Finite Groups Without Elements of Order 10: The Case of Solvable or Almost Simple Groups
Guo, J.
Guo, W.
Kondrat'ev, A. S.
Nirova, M. S.
SIBERIAN MATHEMATICAL JOURNAL, 2024, 65 (04) : 764 - 770
[27] On intersections of nilpotent subgroups in finite groups with simple socle from the "Atlas of Finite Groups"
Zenkov, V. I.
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2023, 29 (02): : 54 - 66
[28] The spectra of almost simple groups with socle E7(q)
Buturlakin, Alexander A.
Grechkoseeva, Maria A.
COMMUNICATIONS IN ALGEBRA, 2024, 52 (01) : 208 - 223
[29] On Intersections of Nilpotent Subgroups in Finite Groups with Simple Socle from the “Atlas of Finite Groups”
V. I. Zenkov
Proceedings of the Steklov Institute of Mathematics, 2023, 323 : S321 - S332
[30] On Intersections of Nilpotent Subgroups in Finite Groups with Simple Socle from the "Atlas of Finite Groups"
Zenkov, V. I.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2023, 323 (SUPPL 1) : S321 - S332

← 1 2 3 4 5 →