H2(T, G, ∂) and central extensions for crossed modules

DOI10.1017/S0013091500020095zbMath0929.18008OpenAlexW2001958408MaRDI QIDQ4267552

Manuel Ladra Gonzalez, Alfredo R-Grandjeán

Publication date: 30 November 1999

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500020095

zbMATH Keywords

perfect groupscentral extensionscrossed modulesnon-abelian tensor product

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Nonabelian homological algebra (category-theoretic aspects) (18G50)

Related Items

Unnamed Item, On universal central extensions of precrossed and crossed modules, The nilpotent multipliers of crossed modules, Universal central extensions of Lie crossed modules over a fixed Lie algebra, Quasi-abelian crossed modules and nonabelian cohomology, Universal central extensions of precrossed modules and Milnor's relative \(K_{2}\), Some results on stem covers of crossed modules, On the second homology of crossed modules, (Co)Homology of crossed modules, A non-abelian tensor product of precrossed modules in lie algebras, CHARACTERIZING n-ISOCLINIC CLASSES OF CROSSED MODULES, Central extensions in semi-abelian categories

Cites Work

• Q-perfect groups and universal Q-central extensions
• Van Kampen theorems for diagrams of spaces
• \(q\)-perfect crossed modules
• Crossed modules and homology
• Fundamentalgruppe und zweite Bettische Gruppe
• Homology of 2-Types
• On the Connection between the Second Relative Homotopy Groups of Some Related Spaces
• Combinatorial homotopy. II