Title : on Nc- covering groups of a nilpotent product of cyclic groupd ( On Nc- covering groups of a nilpotent product of cyclic groups )
Authors: Behrooz Mashayekhy Fard , - - ,
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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 ${\\cal N}_c$-covering group for a nilpotent product of a family of cyclic groups. We also present a structure for the ${\\cal N}_c$-covering group.
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 ${\\cal N}_c$-covering group for a nilpotent product of a family of cyclic groups. We also present a structure for the ${\\cal N}_c$-covering group.
