University of KashanMathematics Interdisciplinary Research2538-36395420201201On Nilpotent Multipliers of Pairs of Groups36737711134210.22052/mir.2020.240332.1250ENAzam HokmabadiDepartment of Mathematics, Faculty of Sciences, Payame Noor University, 19395-4697 Tehran, I. R. IranFahimeh MohammadzadehDepartment of Mathematics, Faculty of Sciences, Payame Noor University, 19395-4697 Tehran, I. R. IranBehrooz MashayekhyDepartment of Pure Mathematics,
Center of Excellence in Analysis on Algebraic Structures,
Ferdowsi University of Mashhad,
P.O.Box 1159-91775, Mashhad,
Iran0000-0001-5243-0641Journal Article20201020In 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.https://mir.kashanu.ac.ir/article_111342_53e46a479d32835bd5501c1cc88bd6b2.pdf