International Journal of Mathematics, Game Theory and Algebra, Year (2006-3)
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.
