On Polynilpotent Multipliers of Free Nilpotent Groups

Details On Polynilpotent Multipliers of Free Nilpotent Groups On Polynilpotent Multipliers of Free Nilpotent Groups

2011-03-26

arxiv.org/abs/1103.5159v1

Communications in Algebra, 34:6 (2006) 2287-2294

Mathematics

Group Theory

12 pages

Scientific paper

In this paper, we present an explicit structure for the Baer invariant of a free nilpotent group (the $n$-th nilpotent product of the infinite cyclic group, $\textbf{Z}\st{n}* \textbf{Z}\st{n}*... \st{n}*\textbf{Z}$) with respect to the variety of polynilpotent groups of class row $(c,1)$, ${\cal N}_{c,1}$, for all $c > 2n-2$. In particular, an explicit structure of the Baer invariant of a free abelian group with respect to the variety of metabelian groups will be presented.

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