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 07:56 |
| Last Modified: | 17 Oct 2017 04:48 |
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