International Journal of Mathematics, Game Theory and Algebra, Year (2003-1)

#### 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 , - - ,

Citation: BibTeX | EndNote

#### 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.

#### Keywords

, Generalized covering group; nilpotent product; Baer, invariant.
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@article{paperid:201895,
author = {Mashayekhy Fard, Behrooz and -, -},
title = {on Nc- covering groups of a nilpotent product of cyclic groupd},
journal = {International Journal of Mathematics, Game Theory and Algebra},
year = {2003},
month = {January},
issn = {1060-9881},
keywords = {Generalized covering group; nilpotent product; Baer-invariant.},
}