On the second homology of crossed modules

DOI10.1007/s40840-020-01007-5zbMath1459.20041OpenAlexW3085771383MaRDI QIDQ2021595

Tahereh Fakhr Taha, Hajar Ravanbod, Ali Reza Salemkar

Publication date: 27 April 2021

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-020-01007-5

zbMATH Keywords

crossed moduleexterior productsecond homologycovering pair

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Nonabelian homological algebra (category-theoretic aspects) (18G50) Projectives and injectives (category-theoretic aspects) (18G05) Simplicial sets, simplicial objects (18N50)

Cites Work

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• Some computations of non-Abelian tensor products of groups
• Van Kampen theorems for diagrams of spaces
• Cohomologie et groupe de Steinberg rélatifs
• The Schur multiplier of a pair of groups
• Crossed modules and homology
• Some results on central extensions of crossed modules
• The nilpotent multipliers of crossed modules
• Non-Abelian extensions and homotopies
• Some results on stem covers of crossed modules
• Fundamentalgruppe und zweite Bettische Gruppe
• Homology of 2-Types
• The precise center of a crossed module
• Non-abelian exterior products of groups and exact sequences in the homology of groups
• On totally free crossed modules
• H₂(T, G, ∂) and central extensions for crossed modules
• Isoclinisms and covering groups
• The classification of prime-power groups.
• The Second Homology Group of a Group; Relations among Commutators
• (Co)Homology of crossed modules

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