Some Functorial Properties of Nilpotent Multipliers

Details Some Functorial Properties of Nilpotent Multipliers Some Functorial Properties of Nilpotent Multipliers

2011-03-30

arxiv.org/abs/1103.5896v1

International Journal of Mathematics, Game Theory and Algebra, 16:2 (2007) 117-127

Mathematics

Group Theory

11 pages

Scientific paper

In this paper, we are going to look at the $c$-nilpotent multiplier of a group $G$, ${\cal N}_cM(G)$, as a functor from the category of all groups, ${\cal G}roup$, to the category of all abelian groups, ${\cal A}b$, 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.

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