2008•Communications in AlgebraRequires access
On Normally Embedded Subgroups of Prime Power Order in Finite Groups
Shirong Li, Xuanli He
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Abstract
Let d be the smallest generator number of a finite p-group P and let ℳ d (P) = {P 1,…, P d } be a set of maximal subgroups of P such that . In this article, the structure of a finite group G under some assumptions on the S-quasinormal and normal embedding of subgroups in ℳ d p (G p ), for each prime p, and Sylow p-subgroups G p of G is investigated.