Some Functorial Properties of Nilpotent Multipliers

Abstract

In this paper, we are going to look at the $c$-nilpotent multiplier of a group $G$, ${\mathcal{N}}_{c}M(G)$, as a functor from the category of all groups, $\mathcal{G}roup$, to the category of all abelian groups, $\mathcal{A}b$, and focusing on some functional properties of it. In fact, by using some results of the first author and others and finding an explicit formula for the $c$-nilpotent multiplier of a finitely generated abelian group, we try to concentrate on the commutativity of the above functor with the two famous functors Ext and Tor.

11 pages

References in corpus (1)

• On the Nilpotent Multiplier of a Free Product