Capability of nilpotent products of cyclic groups

Details Capability of nilpotent products of cyclic groups Capability of nilpotent products of cyclic groups

2004-03-10

arxiv.org/abs/math/0403188v3

J. Group Theory 8, no. 4 (2005) pp. 431-452

Mathematics

Group Theory

Errata updated; the error can be fixed, and a correct proof will appear in a part 2

Scientific paper

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 p-group of class k, and some further results.

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