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On the capability of finitely generated non-torsion groups of nilpotency class 2

Kappe, Luise-Charlotte and Mohd. Ali, Nor Muhainiah and Sarmin, Nor Haniza (2011) On the capability of finitely generated non-torsion groups of nilpotency class 2. Glasgow Mathematical Journal, 53 (2). pp. 411-417. ISSN 1469-509X

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Official URL: http://dx.doi.org/10.1017/S001708951100019X

Abstract

A group is called capable if it is a central factor group. In this paper, we establish a necessary condition for a finitely generated non-torsion group of nilpotency class 2 to be capable. Using the classification of two-generator non-torsion groups of nilpotency class 2, we determine which of them are capable and which are not and give a necessary and sufficient condition for a two-generator non-torsion group of class 2 to be capable in terms of the torsion-free rank of its factor commutator group.

Item Type:Article
Subjects:Q Science
Divisions:Science
ID Code:29669
Deposited By: Maznah Mohamed Ali
Deposited On:21 Mar 2013 15:56
Last Modified:17 Oct 2017 12:48

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