A subgroup A is called a CAPS*p-subgroup of a finite group G,if for any pd-chief factor H/K of G,we have either AH=AK or|A ∩ H:A ∩ K|p≤p.In this paper,the influence of the CAP Sp*properties of maximal subgroups,second maximal subgroups and Sylow subgroups on the structure of chief factors of finite groups is explored,and the related characterizations are given.
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