On the Supersolublity and Weakly S-embedded Subgroups of Finite Groups

GUO Guirong; ZHAO Tao

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On the Supersolublity and Weakly S-embedded Subgroups of Finite Groups

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- On the Supersolublity and Weakly S-embedded Subgroups of Finite Groups
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 52, Issue 4, Pages: 25-28(2013)
- 作者机构：
  
  1. ．六盘水师范学院数学系,贵州,六盘水,553004
  2.  2．山东理工大学理学院,山东,淄博,255049
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2013，
  
  Published Online：25 July 2013，
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GUO Guirong, ZHAO Tao. On the Supersolublity and Weakly S-embedded Subgroups of Finite Groups. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 52(4):25-28(2013)
DOI：

GUO Guirong, ZHAO Tao. On the Supersolublity and Weakly S-embedded Subgroups of Finite Groups. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 52(4):25-28(2013) DOI：

摘要

群G的子群H被称为G的弱S-嵌入子群

是指存在G的正规子群T使得HT为G的S-可换子群且H∩T≤H



其中H

是群G含于H的一个S-可换嵌入子群。研究了群G的某些素数幂阶弱S-嵌入子群对其超可解性的影响

同时也得到了关于饱和群系的几个新的刻画。

Abstract

A subgroup H of G is said to be weakly Sembedded in G

if for some normal subgroup T of G

HT is S-permutable in G and H ∩ T ≤ H

where H

is an S-permutably embedded subgroup of G contained in H. The influence of some weakly S-embedded subgroups on the supersolublity of a finite group G is investigated. And some results about formations are obtained.

关键词

S-可换子群弱S-嵌入子群超可解群饱和群系

Keywords

S-permutable subgroupweakly S-embedded subgroupsupersoluble groupformation

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