Title : ( Polynilpotent Multipliers of Some Nilpotent Products of Cyclic groups II )
Authors: , Behrooz Mashayekhy Fard , ,
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Abstract
This article is devoted to present an explicit formula for the cth nilpotent multiplier of nilpotent products of some cyclic groups G = Z n1 ∗ Z n2 ∗ ... nt−1 ∗ Z nt∗ Zmt+1 nt+1 ∗ Zmt+2 nt+2 ∗ ... nk ∗ Zmk+1 , where mi+1|mi for all t +1 ≤ i ≤ k and c ≥ n1 ≥ n2 ≥ ... ≥ nt ≥ ... ≥ nk such that (p,mt+1) = 1 for all prime p ≤ n1. Moreover, we compute the polynilpotent multiplier of the group G with respect to the polynilpotent variety Nc1,c2,...,cs , where c1 ≥ n1.
Keywords
Baer invariant; Variety of groups; Nilpotent multiplier; Cyclic group
@article{paperid:1013738,
author = {, and Mashayekhy Fard, Behrooz and , },
title = {Polynilpotent Multipliers of Some Nilpotent Products of Cyclic groups II},
journal = {International Journal of Mathematics, Game Theory and Algebra},
year = {2008},
volume = {17},
number = {5},
month = {December},
issn = {1060-9881},
pages = {279--288},
numpages = {9},
keywords = {Baer invariant; Variety of groups; Nilpotent
multiplier; Cyclic group},
}
%0 Journal Article
%T Polynilpotent Multipliers of Some Nilpotent Products of Cyclic groups II
%A ,
%A Mashayekhy Fard, Behrooz
%A ,
%J International Journal of Mathematics, Game Theory and Algebra
%@ 1060-9881
%D 2008
