On Nilpotent Multipliers of Pairs of Groups

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.

arXiv comment10 pages, to appear in Mathematics Interdisciplinary Research

References in corpus (1)

• Some Inequalities for Nilpotent Multipliers of Finite Groups