A NOTE ON COVER-AVOIDINGPROPERTIES OF FINITE GROUPS

摘要

A subgroup H of a group G is said to be a CAP*-subgroup of a group G if, for any non-Frattini chief factor K/L of G, we have HK = HL or H∩K = H∩L. In this paper, some new characterizations for finite groups are obtained based on the assumption that some subgroups are CAP~*-subgroups of G.