Crossed modules and homology

DOI10.1016/0022-4049(94)90117-1zbMath0807.18008OpenAlexW2003355001WikidataQ126782104 ScholiaQ126782104MaRDI QIDQ1334806

Alfredo R-Grandjeán, Manuel Ladra Gonzalez

Publication date: 22 September 1994

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

Full work available at URL: https://doi.org/10.1016/0022-4049(94)90117-1

zbMATH Keywords

homologycrossed modulesfive-term exact sequence

Mathematics Subject Classification ID

Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20)

Related Items (19)

OBSTRUCTION THEORY IN CROSSED MODULES ⋮ Some aspects of homotopic algebra and non-abelian (co)homology theories ⋮ H₂(T, G, ∂) and central extensions for crossed modules ⋮ Unnamed Item ⋮ The nilpotent multipliers of crossed modules ⋮ Admissibility of localizations of crossed modules ⋮ Some results on stem covers of crossed modules ⋮ Nilpotent crossed modules and homology ⋮ \(3\times 3\) lemma and protomodularity ⋮ Simplicial deirvation, higher bear invariant and homology of crossed modules ⋮ Homology of \((n+1)\)-types and Hopf type formulas ⋮ On the second homology of crossed modules ⋮ \(N\)-fold Čech derived functors and generalised Hopf type formulas ⋮ (Co)Homology of crossed modules ⋮ N-Crossed Extensions of Crossed Modules ⋮ The precise center of a crossed module ⋮ CHARACTERIZING n-ISOCLINIC CLASSES OF CROSSED MODULES ⋮ On totally free crossed modules ⋮ (Co)homology of \(\Gamma\)-groups and \(\Gamma\)-homological algebra

Cites Work

• Quelques propriétés homologiques des modules précroisés. (Some homological properties of precrossed modules)
• Hopf Formulae for the Higher Homology of a Group
• On the Connection between the Second Relative Homotopy Groups of Some Related Spaces
• Actions and automorphisms of crossed modules
• Combinatorial homotopy. II
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• Unnamed Item

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