On ${\mathcal{N}}_c$-Covering Groups of a Nilpotent Product of Cyclic Groups

Abstract

The first author, in 2001, presented a structure for the Baer-invariant of a nilpotent product of cyclic groups with respect to the variety of nilpotent groups. In this paper, using the above structure, we prove the existence of an ${\mathcal{N}}_c$-covering group for a nilpotent product of a family of cyclic groups. We also present a structure for the ${\mathcal{N}}_c$-covering group.

6 pages

References in corpus (1)

• A Remark on Generalized Covering Groups