On Nilpotent Multipliers of Pairs of Groups

نویسندگان
Hokmabadi, Azam ID 1
Mohammadzadeh, Fahimeh ID 2
Mashayekhy, Behrooz ID 3

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

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

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

doi
10.22052/mir.2020.240332.1250
چکیده

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.

کلیدواژه‌ها
pair of groups, Nilpotent multiplier, Finitely generated abelian groups