Polynilpotent Multipliers of Finitely Generated Abelian Groups

Details Polynilpotent Multipliers of Finitely Generated Abelian Groups Polynilpotent Multipliers of Finitely Generated Abelian Groups

2011-03-26

arxiv.org/abs/1103.5155v1

International Journal of Mathematics, Game Theory and Algebra, 16:2 (2006) 93-102

Mathematics

Group Theory

17 pages

Scientific paper

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 $(c_1,...,c_t)$, ${\cal N}_{c_1,...,c_t}$. 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.

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