Title : POLYNILPOTENT MULTIPLIERS OF FINITELY GENERATED ABELIAN GROUPS ( Polynilpotent multipliers of finitely generateg abelian groups )
Authors: Behrooz Mashayekhy Fard , Mohsen Parvizi ,
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Abstract
In this paper, we present an explicit formula for the Baer invariant of a finitely generated abelian group with respect to the variety of polynilpotent groups of class row (c_1, dots ,c_t) , { cal N}_{c_1, dots ,c_t} . In particular, one can obtain an explicit structure of the ell -solvable multiplier ( the Baer invariant with respect to the vaiety of solvable groups of length at most ell geq 1, { cal S}_{ ell} .) of a finitely generated abelian group.
Keywords
, Abelian groups, Baer invariant, solvabe variety, polynilpotent variety.
@article{paperid:203108,
author = {Mashayekhy Fard, Behrooz and Parvizi, Mohsen},
title = {POLYNILPOTENT MULTIPLIERS OF FINITELY GENERATED ABELIAN GROUPS},
journal = {International Journal of Mathematics, Game Theory and Algebra},
year = {2006},
month = {March},
issn = {1060-9881},
keywords = {Abelian groups; Baer invariant; solvabe variety;
polynilpotent variety.},
}
%0 Journal Article
%T POLYNILPOTENT MULTIPLIERS OF FINITELY GENERATED ABELIAN GROUPS
%A Mashayekhy Fard, Behrooz
%A Parvizi, Mohsen
%J International Journal of Mathematics, Game Theory and Algebra
%@ 1060-9881
%D 2006
