The nilpotent multipliers of crossed modules

DOI10.1016/j.jpaa.2016.10.006zbMath1387.18024OpenAlexW2547880300MaRDI QIDQ1684758

Zahra Riyahi, Sajedeh Talebtash, Ali Reza Salemkar

Publication date: 12 December 2017

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2016.10.006

zbMATH Keywords

crossed modulesc-nilpotent multiplierc-stem coverc-stem extension

Mathematics Subject Classification ID

Nonabelian homological algebra (category-theoretic aspects) (18G50) Projectives and injectives (category-theoretic aspects) (18G05) Connections of group theory with homological algebra and category theory (20J99)

Related Items (4)

Non-abelian tensor product of precrossed modules in Lie algebras, structure and applications ⋮ Unnamed Item ⋮ On the second homology of crossed modules ⋮ CHARACTERIZING n-ISOCLINIC CLASSES OF CROSSED MODULES

Cites Work

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• Group extensions, representations, and the Schur multiplicator
• Van Kampen theorems for diagrams of spaces
• The Baer-invariant of a direct product
• Crossed modules and homology
• Some results on central extensions of crossed modules
• On the nilpotent multipliers of a group
• On groups with a finite nilpotent upper central quotient
• \(H^{q}_{2}(T,G,{\partial})\) and \(q\)-perfect crossed modules
• Some results on stem covers of crossed modules
• The precise center of a crossed module
• The Ganea Map for Nilpotent Groups
• Inequalities for Baer Invariants of Finite Groups
• H₂(T, G, ∂) and central extensions for crossed modules
• Higher Schur-multiplicator of a Finite Abelian Group
• Nilpotent crossed modules and homology
• Representations of groups as quotient groups. II. Minimal central chains of a group
• (Co)Homology of crossed modules

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