On p-nilpotency of finite group with normally embedded maximal subgroups of some Sylow subgroups

被引：0

作者：

Trofimuk, A. ^{[1
]}

机构：

[1] Gomel Francisk Skorina State Univ, Dept Math, Gomel 246019, BELARUS

来源：

ALGEBRA AND DISCRETE MATHEMATICS | 2020年 / 29卷 / 01期

关键词：

p-supersolvable group; normally embedded subgroup; maximal subgroup; Sylow subgroup;

D O I：

10.12958/adm1128

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a finite group and P be a p-subgroup of G. If P is a Sylow subgroup of some normal subgroup of G, then we say that P is normally embedded in G. Groups with normally embedded maximal subgroups of Sylow p-subgroup, where (vertical bar G vertical bar, p - 1) = 1, are studied. In particular, the p-nilpotency of such groups is proved.

引用

页码：139 / 146

页数：8

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