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ON GENERALISED FC-GROUPS IN WHICH NORMALITY IS A TRANSITIVE RELATION

Part of: Structure and classification of infinite or finite groups Special aspects of infinite or finite groups

Published online by Cambridge University Press:  29 October 2015

R. ESTEBAN-ROMERO  and
G. VINCENZI
R. ESTEBAN-ROMERO
Affiliation:
Institut Universitari de Matemàtica Pura i Aplicada, Universitat Politècnica de València, Camí de Vera, s/n, 46022 València, Spain email resteban@mat.upv.es
G. VINCENZI*
Affiliation:
Dipartimento di Matematica e Informatica, Università di Salerno, Via Giovanni Paolo II, Fisciano, 132, 84084 Salerno, Italy email gvincenzi@unisa.it
*
✉gvincenzi@unisa.it
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Abstract

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We extend to soluble $\text{FC}^{\ast }$-groups, the class of generalised FC-groups introduced in de Giovanni et al. [‘Groups with restricted conjugacy classes’, Serdica Math. J. 28(3) (2002), 241–254], the characterisation of finite soluble T-groups obtained recently in Kaplan [‘On T-groups, supersolvable groups, and maximal subgroups’, Arch. Math. (Basel) 96(1) (2011), 19–25].

Keywords

T-groupFC-grouppronormal subgroup

MSC classification

Primary: 20F24: FC-groups and their generalizations
Secondary: 20E34: General structure theorems 20F14: Derived series, central series, and generalizations 20F19: Generalizations of solvable and nilpotent groups
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 100 , Issue 2 , April 2016 , pp. 192 - 198
Copyright
© 2015 Australian Mathematical Publishing Association Inc. 

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