Group cohomology with coefficients in a crossed module

DOI10.1017/S1474748010000186zbMath1232.18015arXiv0902.0161OpenAlexW2962863436MaRDI QIDQ2999443

Behrang Noohi

Publication date: 13 May 2011

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.0161

zbMATH Keywords

butterflygroup cohomologyprincipal 2-bundleequivariant 2-groupequivariant categorical groupequivariant crossed module

Mathematics Subject Classification ID

Cohomology of groups (20J06) Nonabelian homological algebra (category-theoretic aspects) (18G50)

Related Items (7)

Group actions on algebraic stacks via butterflies ⋮ Braided equivariant crossed modules and cohomology of \(\gamma\)-modules ⋮ Epipelagic \(L\)-packets and rectifying characters ⋮ Cohomology with coefficients in stacks of abelian 2-groups ⋮ Some results on strict graded categorical groups ⋮ Criterion for surjectivity of localization in Galois cohomology of a reductive group over a number field ⋮ Cohomology of monoids with operators

Cites Work

• Unnamed Item
• Group cohomology for Picard groups
• Modules croisés généralisés de longueur 2
• Three-crossed modules
• Notes on 2-groupoids, 2-groups and crossed modules
• Butterflies. I: Morphisms of 2-group stacks
• Spaces of maps into classifying spaces for equivariant crossed complexes
• Simplicial cohomology with coefficients in symmetric categorical groups
• Cohomology of cofibred categorical groups
• Cohomology with coefficients in symmetric cat-groups. An extension of Eilenberg–MacLane's classification theorem
• On ℋ¹ of Categorical Groups
• Algebraic Models of 3‐Types and Automorphism Structures for Crossed Modules

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