Supersolubility of a Finite Group with Normally Embedded Maximal Subgroups in Sylow Subgroups

被引：0
|
作者：
V. S. Monakhov
A. A. Trofimuk
机构：
[1] Francisk Skorina Gomel State University,
[2] Pushkin Brest State University,undefined
来源：
Siberian Mathematical Journal | 2018年 / 59卷
关键词：
-supersoluble group; normally embedded subgroup; maximal subgroup; Sylow subgroup;
D O I：
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学科分类号：
摘要：
Let P be a subgroup of a Sylow subgroup of a finite group G. If P is a Sylow subgroup of some normal subgroup of G then P is called normally embedded in G. We establish tests for a finite group G to be p-supersoluble provided that every maximal subgroup of a Sylow p-subgroup of X is normally embedded in G. We study the cases when X is a normal subgroup of G, X = Op',p(H), and X = F*(H) where H is a normal subgroup of G.
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页码：922 / 930
页数：8
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