ON SEMI p-COVER-AVOIDING SUBGROUPS AND \(\mathcal{H}\)-SUBGROUPS OF FINITE GROUPS

Abstract

In recent years, some authors gave many valuable results on the structure of a finite group, provided its some subgroups have semi p-cover-avoiding property.  At the same time, some interesting conclusions about finite group were also obtained under the assumption that some subgroups of G belong to \(\mathcal{H}\)(G).  All these results are important in the research of finite groups.  Here the authors discussed the connection between the semi p-cover-avoiding subgroups and the \(\mathcal{H}\)-subgroups on the structure of a finite group, and again obtained some more interesting results about finite groups.