Baer-Suzuki theorem for the π-radical

被引：10

作者：

Yang, Nanying ^{[1
]}

Revin, Danila O. ^{[2
,3
]}

Vdovin, Evgeny P. ^{[2
,3
]}

机构：

[1] Jiangnan Univ, 1800 Lihu Ave, Wuxi 214122, Jiangsu, Peoples R China

[2] Sobolev Inst Math, Pr T Acad Koptyug 4, Novosibirsk 630090, Russia

[3] Novosibirsk State Univ, Pirogova 1, Novosibirsk 630090, Russia

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2021年 / 245卷 / 01期

关键词：

FINITE; SUBGROUPS;

D O I：

10.1007/s11856-021-2209-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper we prove (modulo the classification of finite simple groups) an analogue of the famous Baer-Suzuki theorem for the pi-radical of a finite group, where pi is a set of primes.

引用

页码：173 / 207

页数：35

共 7 条

[1] On the sharp Baer-Suzuki theorem for the π-radical of a finite group
Yang, N.
Wu, Zh.
Revin, D. O.
Vdovin, E. P.
SBORNIK MATHEMATICS, 2023, 214 (01) : 108 - 147
[2] ON THE SHARP BAER-SUZUKI THEOREM FOR THE π-RADICAL: SPORADIC GROUPS
Yang, N.
Wu, Zh.
Revin, D. O.
SIBERIAN MATHEMATICAL JOURNAL, 2022, 63 (02) : 387 - 394
[3] Variations on the Baer-Suzuki theorem
Guralnick, Robert
Malle, Gunter
MATHEMATISCHE ZEITSCHRIFT, 2015, 279 (3-4) : 981 - 1006
[4] ON BAER-SUZUKI π-THEOREMS
Revin, D. O.
SIBERIAN MATHEMATICAL JOURNAL, 2011, 52 (02) : 340 - 347
[5] TOWARD A SHARP BAER-SUZUKI THEOREM FOR THE π-RADICAL: UNIPOTENT ELEMENTS OF GROUPS OF LIE TYPE
Liu, A-M
Wang, Zh.
Revin, D. O.
ALGEBRA AND LOGIC, 2024, 62 (06) : 476 - 500
[6] Squares of conjugacy classes and a variant on the Baer-Suzuki Theorem
Parker, Chris
Saunders, Jack
ISRAEL JOURNAL OF MATHEMATICS, 2024,
[7] Further solvable analogues of the Baer-Suzuki theorem and generation of nonsolvable groups
Guest, Simon
JOURNAL OF ALGEBRA, 2012, 360 : 92 - 114

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