Author/Authors :
Hokmabadi, Azam Department of Mathematics - Faculty of Sciences - Payame Noor University, Tehran, I. R. Iran , Mohammadzadeh, Fahimeh Department of Mathematics - Faculty of Sciences - Payame Noor University, Tehran, I. R. Iran , Mashayekhy, Behrooz Department of Mathematics - Faculty of Sciences - Payame Noor University, Tehran, I. R. Iran
Abstract :
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.