FINITE GROUPS WITH ABNORMAL MINIMAL NONNILPOTENT SUBGROUPS

被引：2

作者：

Wang, Zhigang ^{[1
]}

Cai, Jinzhuan ^{[1
]}

Safonova, Inna N. ^{[2
]}

Skiba, Alexander N. ^{[3
]}

机构：

[1] Hainan Univ, Sch Sci, Haikou 570228, Hainan, Peoples R China

[2] Belarusian State Univ, Dept Appl Math & Comp Sci, Minsk 220030, BELARUS

[3] Francisk Skorina Gomel State Univ, Dept Math & Technol Programming, Gomel 246019, BELARUS

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2023年 / 107卷 / 02期

基金：

中国国家自然科学基金;

关键词：

finite group; soluble group; Schmidt group; abnormal subgroup; quasisimple group;

D O I：

10.1017/S0004972722000843

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe finite soluble nonnilpotent groups in which every minimal nonnilpotent subgroup is abnormal. We also show that if G is a nonsoluble finite group in which every minimal nonnilpotent subgroup is abnormal, then G is quasisimple and Z(G) is cyclic of order vertical bar Z(G)vertical bar is an element of {1, 2, 3, 4}.

引用

页码：261 / 270

页数：10

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