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

• Main Authors: Kappe, Luise-Charlotte, Mohd. Ali, Nor Muhainiah, Sarmin, Nor Haniza
• Format: Article
• Published: Cambridge University Press 2011
• Subjects: Q Science
• Online Access: http://eprints.utm.my/id/eprint/29669/; http://dx.doi.org/10.1017/S001708951100019X
• Institution: Universiti Teknologi Malaysia

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...