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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Published in:arXiv.org 2021-04
Main Authors: Hokmabadi, Azam, Mohammadzadeh, Fahimeh, Mashayekhy, Behrooz
Format: Article
Language:English
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Group theory
Multipliers
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Mohammadzadeh, Fahimeh
Mashayekhy, Behrooz
description 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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subjects Group theory
Multipliers
title On Nilpotent Multipliers of Pairs of Groups
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