Baer invariants and cohomology of precrossed modules

DOI10.1007/s10485-013-9307-xzbMath1300.18007OpenAlexW1996557526MaRDI QIDQ2015830

Daniel Arias, Manuel Ladra Gonzalez

Publication date: 24 June 2014

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10485-013-9307-x

zbMATH Keywords

cohomologytensor productcrossed modulecentral extensionprecrossed moduleBaer invariant

Mathematics Subject Classification ID

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

Cites Work

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• Baer invariants of crossed modules
• Central extensions of precrossed modules
• Relative commutator theory in varieties of \(\Omega\)-groups
• Quelques propriétés homologiques des modules précroisés. (Some homological properties of precrossed modules)
• The central series for Peiffer commutators in groups with operators
• Van Kampen theorems for diagrams of spaces
• Spaces with finitely many non-trivial homotopy groups
• Homology and generalized Baer invariants
• Galois theory and a general notion of central extension
• On the non-balanced property of the category of crossed modules in groups
• Cohomology and higher dimensional Baer invariants
• Central extensions in semi-abelian categories
• Homology of precrossed modules
• On the second cohomology group in semi-abelian categories
• Higher Hopf formulae for homology via Galois theory
• Precrossed modules and Galois theory
• On satellites in semi-abelian categories: Homology without projectives
• Question de Whitehead et modules précroisés
• Baer-Invariants of Algebras
• (Co)Homology of crossed modules
• Semi-abelian categories

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