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On Polynilpotent Multipliers of Free Nilpotent Groups

Authors
  • Parvizi, Mohsen
  • Mashayekhy, Behrooz
Type
Published Article
Publication Date
Mar 26, 2011
Submission Date
Mar 26, 2011
Identifiers
arXiv ID: 1103.5159
Source
arXiv
License
Yellow
External links

Abstract

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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