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2011•Journal of Guangxi Normal UniversityRequires access

2-maximal Subgroups of Sylow Subgroups and p-nilpotency of Finite Groups

Xianhua Li

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Abstract

This paper discusses the influence of weakly s-permutable properties of subgroups on the structure of finite groups.Using the condition that the 2-maximal subgroups of a given Sylow p-subgroup of G are weakly s-permutable in G,some sufficient conditions on p-nilpotency of finite groups are obtained.This research generalises some of the recent results.

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What this paper is about

This paper discusses the influence of weakly s-permutable properties of subgroups on the structure of finite groups.Using the condition that the 2-maximal subgroups of a given Sylow p-subgroup of G are weakly s-permutable in G,some sufficient conditions on p-nilpotency of finite groups are obtained.This research generalises some of the recent results.

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Available abstract

This paper discusses the influence of weakly s-permutable properties of subgroups on the structure of finite groups.Using the condition that the 2-maximal subgroups of a given Sylow p-subgroup of G are weakly s-permutable in G,some sufficient conditions on p-nilpotency of finite groups are obtained.This research generalises some of the recent results.

Key concepts: Sylow theorems, Mathematics, Permutable prime, Locally finite group, Complement (music), Index of a subgroup, Omega and agemo subgroup, Pure mathematics

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