FINITE SIMPLE GROUPS WITH TWO MAXIMAL SUBGROUPS OF COPRIME ORDERS

被引：0

作者：

Maslova, N., V ^{[1
,2
]}

机构：

[1] Krasovskii Inst Math & Mech UB RAS, S Kovalevskaya Str 16, Yekaterinburs 620108, Russia

[2] Ural Fed Univ, Turgeneva Str 4, Yekaterinburs 620075, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2023年 / 20卷 / 02期

关键词：

finite group; simple group; maximal subgroup; subgroups of coprime orders;

D O I：

10.33048/semi.2023.020.071

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In 1962, V. A. Belonogov proved that if a finite group G contains two maximal subgroups of coprime orders, then either G is one of known solvable groups or G is simple. In this short note based on results by M. Liebeck and J. Saxl on odd order maximal subgroups infinite simple groups we determine possibilities for triples (G, H, M), where G is a finite nonabelian simple group, H and M are maximal subgroups of G with (vertical bar H vertical bar, vertical bar M vertical bar) = 1.

引用

页码：1150 / 1159

页数：10

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