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Semi CAP-subgroups and the properties of finite groups
Author(s): 
Pages: 1-6
Year: Issue:  2
Journal: JOURNAL OF SUZHOU UNIVERSITY NATURAL SCIENCE

Keyword:  minimal subgroupsemi CAP-subgroupp-nilpotentformation;
Abstract: Let G be a finite group.A subgroup H of G is said to be a semi CAP-subgroup of G if there exists a chief series 1=G0(△)G1(△)…(△)Gn-1(△)Gn=G such that for every i=1,2,…,n,either H covers Gi/Gi-1 or H avoids Gi/Gi-1.The purpose here is to study the influence of semi cover-avoiding properties of some minimal subgroups and some cyclic subgroups of order 4 on the structure of finite groups.
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