On Torsion and Finite Extension of $FC$ and $\tau N_{K}$ Groups in Certain Classes of Finitely Generated Groups

Let \(k>0\) an integer. \(F\), \(\tau \), \(N\), \(N_{k}\), \(N_{k}^{(2)}\) and \(A\) denote the classes of finite, torsion, nilpotent, nilpotent of class at most \(k\), group which every two generator subgroup is \(N_{k}\) and abelian groups respectively. The main results of this paper is, first...

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Bibliographic Details
Main Authors: Mourad Chelgham, Mohamed Kerada
Format: Article
Language:English
Published: Ptolemy Scientific Research Press 2018-11-01
Series:Open Journal of Mathematical Sciences
Subjects:
Online Access:https://openmathscience.com/on-torsion-and-finite-extension-of-fc-and-tau-n_k-groups-in-certain-classes-of-finitely-generated-groups-2/