Title : ( On Polynilpotent Multipliers of Free Nilpotent Groups )
Authors: Behrooz Mashayekhy Fard , Mohsen Parvizi ,
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Abstract
We present an explicit structure for the Baer invariant of the free n th nilpotent group (the n th nilpotent product of the infinite cyclic group, textbf{ Z} st{n}* textbf{ Z} st{n}* ldots st{n}* textbf{ Z} ) with respect to the variety { cal V with the set of words V= {[ ga_{c_1+1}, ga_{c_2+1}] } , for all c_1 geq c_2 and 2c_2-c_1>2n-2$. In particular, the variety { cal V} can be a polynilpotent variety, { cal N}_{c,1} , for all c> 2n-2 , and also the variety of metabelian groups, { cal S}_2 .
Keywords
, Baer invariant, free nilpotent
@article{paperid:1006585,
author = {Mashayekhy Fard, Behrooz and Parvizi, Mohsen},
title = {On Polynilpotent Multipliers of Free Nilpotent Groups},
journal = {Communications in Algebra},
year = {2006},
volume = {34},
number = {6},
month = {June},
issn = {0092-7872},
pages = {2287--2294},
numpages = {7},
keywords = {Baer invariant; free nilpotent},
}
%0 Journal Article
%T On Polynilpotent Multipliers of Free Nilpotent Groups
%A Mashayekhy Fard, Behrooz
%A Parvizi, Mohsen
%J Communications in Algebra
%@ 0092-7872
%D 2006
