Arabian Journal for Science and Engineering, ( ISI ), Volume (36), No (3), Year (2011-5) , Pages (415-421)

Title : ( Polynilpotent Multipliers of Some Nilpotent Products of Cyclic Groups )

Authors: , Behrooz Mashayekhy Fard , ,

Citation: BibTeX | EndNote

Abstract

In this article, we present an explicit formula for the $c$th nilpotent multiplier (the Baer invariant with respect to the variety of nilpotent groups of class at most $c\geq 1$) of the $n$th nilpotent product of some cyclic groups $G={\mathbb {Z}}\stackrel{n}{*} \cdots \stackrel{n}{*}{\mathbb {Z}}\stackrel{n}{*} {\mathbb {Z}}_{r_1}\stackrel{n}{*} \cdots \stackrel{n}{*}{\mathbb{Z}}_{r_t}$, (m-copies of $\mathbb {Z}$), where $r_{i+1} | r_i$ for $1 \leq i \leq t-1$ and $c \geq n$ such that $ (p,r_1)=1$ for all primes $p$ less than or equal to $n$. Also, we compute the polynilpotent multiplier of the group $G$ with respect to the polynilpotent variety ${\mathcal N}_{c_1,c_2,\ldots ,c_t}$, where $c_1 \geq n.$

Keywords

, Polynilpotent multiplier, nilpotent product, cyclic group.
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@article{paperid:1021979,
author = {, and Mashayekhy Fard, Behrooz and , },
title = {Polynilpotent Multipliers of Some Nilpotent Products of Cyclic Groups},
journal = {Arabian Journal for Science and Engineering},
year = {2011},
volume = {36},
number = {3},
month = {May},
issn = {1319-8025},
pages = {415--421},
numpages = {6},
keywords = {Polynilpotent multiplier; nilpotent product; cyclic group.},
}

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%0 Journal Article
%T Polynilpotent Multipliers of Some Nilpotent Products of Cyclic Groups
%A ,
%A Mashayekhy Fard, Behrooz
%A ,
%J Arabian Journal for Science and Engineering
%@ 1319-8025
%D 2011

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