Long exact sequences in the first variable for algebraic cohomology theories

DOI10.1016/0022-4049(82)90102-5zbMath0483.18010OpenAlexW2164433563MaRDI QIDQ5905076

Don H. Van Osdol

Publication date: 1982

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(82)90102-5

zbMATH Keywords

crossed modulesexact sequenceadjoint paircohomology theorycotriplecomplex of cochainsnon-abelian categoriessimplicial extension

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Homological methods in group theory (20J05) Nonabelian homological algebra (category-theoretic aspects) (18G50) Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15)

Related Items

Relative derived contravariant functors and the cohomology of groups, An introduction to algebraic deformation theory, Comonad cohomology of track categories, An exact sequence in the first variable for torsor cohomology: the 2-dimensional theory of obstructions

Cites Work

• Cohomologie et groupe de Steinberg rélatifs
• Cohomology theory in abstract groups. II
• Cohomology theory in abstract groups. III. Operator homomorphisms of kernels
• Simplicial methods and the interpretation of “triple” cohomology
• Cohomology of Group Extensions
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