Polynilpotent Multipliers of Finitely Generated Abelian Groups

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 (c1;:::;c t), Nc1;:::;c t. In particular, one can obtain an explicit structure of the `-solvable multiplier ( the Baer invariant with respect to the vaiety of solvable groups of length at most `� 1; S`.) of a finitely generated abelian group.