On Nilpotent Multipliers of Pairs of Groups

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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Bibliographic Details
Published in:arXiv.org 2021-04
Main Authors: Hokmabadi, Azam, Mohammadzadeh, Fahimeh, Mashayekhy, Behrooz
Format: Article
Language:English
Subjects:
Group theory
Multipliers
Online Access:Get full text
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Summary: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.
ISSN:2331-8422