A NOTE ON COVER-AVOIDING PROPERTIES OF FINITE GROUPS

Jianjun Liu, Xiuyun Guo

Abstract


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.

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