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The Influence of Weakly s-Permutable Properties of Subgroups on the Structure of Finite Groups

Author: ZhangLiJian
Tutor: LiXianHua
School: Suzhou University
Course: Basic mathematics
Keywords: weakly s-permutable subgroups s-permutable subgroups p-nilpotent group formation
CLC: O152.1
Type: Master's thesis
Year: 2009
Downloads: 25
Quote: 1
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Abstract


In this paper,we study the structure of finite groups with weakly s-permutable properties of some subgroups.The main results are the following:(1) We obtain some sufficient conditions on p-nilpotency of finite groups by using the weakly s-permutable properties of some maximal subgroups of a Sylow subgroup in its normalizer.Meanwhile,we get some results about certain formation.(2) We obtain some sufficient conditions on p-nilpotency of finite groups by the weakly s-permutable of some maximal subgroups of Sylow subgroups and 2-maximal subgroups of Sylow subgroups.Those results are generalization of recent results in this aspect.

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CLC: > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Group theory > Finite group theory
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