On p-CAP-subgroups of finite groups

Abstract

Suppose that G is a finite group and H is a subgroup of G. H is said to be a p-CAP-subgroup of G if H either covers or avoids each pd-chief factor of G. We give some characterizations for a group G to be p-solvable under the assumption that some subgroups of G are p-CAP-subgroups of G.

Keywords

Maximal subgroups / 2-maximal subgroups / p-CAP-subgroups

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