S-semipermutable and Weakly S-permutable Subgroups

Authors

  • Changwen Li

DOI:

https://doi.org/10.11113/matematika.v26.n.556

Abstract

S-semipermutable subgroup and weakly s-permutable subgroup are two different generalizations of s-permutable subgroup. In this paper, we investigate the influence of s-semipermutable and weakly s-permutable subgroups on the structure of finite groups. We give some conditions of p-nilpotency and supersolvability under assumption that some primary subgroups ( for example, maximal subgroups or minimal subgroups of Sylow subgroups ) are either s-semipermutable or weakly s-permutable. Meanwhile, some results are extended by using formation theory Keywords: s-semipermutable; weakly s-permutable; p-nilpotent; supersolvable

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Published

2010-12-01

Issue

Section

Mathematics