On Nilpotent Multipliers of Pairs of Groups

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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Hauptverfasser: Hokmabadi, Azam, Mohammadzadeh, Fahimeh, Mashayekhy, Behrooz
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Group Theory
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Zusammenfassung: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.
DOI:10.48550/arxiv.1511.08139