Finite groups with four conjugacy classes of maximal subgroups

被引:0
作者
Vyacheslav A. Belonogov
Viktor I. Zenkov
Anatoly S. Kondrat’ev
机构
[1] Krasovskii Institute of Mathematics and Mechanics UB RAS,
[2] Ural Federal University,undefined
来源
European Journal of Mathematics | 2023年 / 9卷
关键词
Finite group; Maximal subgroup; -Group; 20E28; 20D05; 20D10;
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摘要
A finite group with exactly n conjugacy classes of maximal subgroups (n is a positive integer) is called an nM-group. In the present paper, we complete the project of description of 4M-groups started by the first author and obtain some general properties of solvable nM-groups for any n.
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[1]  
Belonogov VA(1988)Finite groups with three classes of maximal subgroups Math. USSR-Sb. 59 223-236
[2]  
Pazderski G(1964)Über maximale Untergruppen endlicher Gruppen Math. Nachr. 26 307-319
[3]  
Wilson RA(1985)Maximal subgroups of automorphism groups of simple groups J. London Math. Soc. 32 460-466