Capability of nilpotent products of cyclic groups
Abstract
A group is called capable if it is a central factor group. We consider the capability of nilpotent products of cyclic groups, and obtain a generalization of a theorem of Baer for the metabelian small class case. The approach is also used to obtain some recent results on the capability of certain nilpotent groups of class 2. We also prove a necessary condition for the capability of an arbitrary pgroup of class k, and some further results.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 March 2004
 arXiv:
 arXiv:math/0403188
 Bibcode:
 2004math......3188M
 Keywords:

 Mathematics  Group Theory;
 20D15;
 20F12 (Primary)
 EPrint:
 Errata updated