On pairs of antagonistic subgroups and theirs influence on the structure of groups

Abstract

In this survey we collect some results on the influence on the structure of a group of some families of its subgroups satisfying conditions related to normality. In particular we focus on groups whose subgroups have two antagonistic properties.

Keywords

• normal
• subnormal
• ascendant
• descendant
• selfnormalizing
• abnormal
• conormal
• contranormal
• pronormal subgroups