University of Isfahan International Journal of Group Theory 2251-7650 7 3 2018 09 01 Groups with permutability conditions for subgroups of infinite rank 7 16 21483 10.22108/ijgt.2017.21483 EN Anna Valentina De Luca Dipartimento di Matematica e Fisica, Università degli Studi della Campania "Luigi Vanvitelli" Roberto Ialenti Dipartimento di Matematica e Applicazioni Renato Caccioppoli - Università degli Studi di Napoli Federico II Journal Article 2016 11 28 In this paper, the structure of non-periodic generalized radical groups of infinite rank whose subgroups of infinite rank satisfy a suitable permutability condition is investigated. Group of infinite rank almost permutable subgroup nearly permutable subgroup https://ijgt.ui.ac.ir/article_21483_4b600a56b8f0ea252f47e0a58de19bf7.pdf