On Nilpotent Multipliers of Pairs of Groups

Document Type : Original Scientific Paper


1 Department of Mathematics, Faculty of Sciences, Payame Noor University, 19395-4697 Tehran, I. R. Iran

2 Department of Pure Mathematics, Center of Excellence in Analysis on Algebraic Structures, Ferdowsi University of Mashhad, P.O.Box 1159-91775, Mashhad, Iran


In this paper, we determine the structure of the nilpotent multipliers of all pairs (G,N) of finitely generated abelian groups where N admits a complement in G. Moreover, some inequalities for the nilpotent multipliers of pairs of finite groups and their factor groups are given.


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