Some characterisations of groups in which normality is a‎ ‎transitive relation by means of subgroup embedding properties

Abstract

‎In this survey we highlight the relations between some subgroup embedding properties that characterise groups in which normality is a transitive relation in‎ ‎certain universes of groups with some finiteness properties‎.

Keywords

• ‎group‎
• ‎subgroup‎ ‎embedding property‎
• ‎T-group‎
• ‎FC$^*$-group‎
• ‎group without infinite‎ ‎simple sections