University of Isfahan International Journal of Group Theory 2251-7650 7 2 2018 06 01 Some characterisations of groups in which normality is a‎ ‎transitive relation by means of subgroup embedding properties 9 16 21214 10.22108/ijgt.2017.21214 EN Ramon Esteban-Romero Institut Universitari de Matemàtica Pura i Aplicada, Universitat Politècnica de València, Camí de Vera, s/n, 46022 València, Spain Giovanni Vincenzi University of salerno Journal Article 2016 11 27 ‎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. ‎group‎ ‎subgroup‎ ‎embedding property‎ ‎T-group‎ ‎FC$^*$-group‎ ‎group without infinite‎ ‎simple sections https://ijgt.ui.ac.ir/article_21214_cc340e8f12a5cd3c8681717909e787b8.pdf