LHS-spectral sequences for regular extensions of categories
DOI10.1007/s40062-024-00338-5arXiv2305.02000OpenAlexW4391052521WikidataQ129663824 ScholiaQ129663824MaRDI QIDQ6122808
Publication date: 1 March 2024
Published in: Journal of Homotopy and Related Structures (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2305.02000
spectral sequenceorbit categoryfusion systems\(p\)-local finite groupscohomology of small categoriesextensions of categories
Spectral sequences, hypercohomology (18G40) Cohomology of groups (20J06) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Equivariant homology and cohomology in algebraic topology (55N91) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15)
Cites Work
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- Cohomology with twisted coefficients of the classifying space of a fusion system
- Fusion systems and localities.
- \(p\)-local finite group cohomology.
- Propagating sharp group homology decompositions.
- The normaliser decomposition for \(p\)-local finite groups
- On the cohomology rings of small categories
- On \(H^*(\mathcal C;k^\times)\) for fusion systems.
- Cohomology of small categories
- Transformation groups and algebraic \(K\)-theory
- Homotopy decomposition of classifying spaces via elementary Abelian subgroups
- Homotopy classification of self-maps of \(BG\) via \(G\)-actions. I
- Homotopy equivalences of \(p\)-completed classifying spaces of finite groups
- Homological dimension theory of small categories
- Cohomology of linking systems with twisted coefficients by a \(p\)-solvable action
- On local categories of finite groups.
- Equivariant CW-complexes and the orbit category
- Topology and \(K\)-theory. Lectures by Daniel Quillen. With a contribution by Mikhail Kapranov
- Gabriel-Zisman cohomology and spectral sequences
- Higher limits over the fusion orbit category
- Cohomology of infinite groups realizing fusion systems
- Mackey functors and sharpness for fusion systems
- Extensions of linking systems with \(p\)-group kernel
- G-functors, G-posets and homotopy decompositions of G-spaces
- Fusion systems
- The orbit space of a fusion system is contractible
- A homotopy decomposition for the classifying space of virtually torsion-free groups and applications
- The homotopy theory of fusion systems
- Cohomologies et extensions de catégories.
- Farrell cohomology and centralizets of elementary abelian p-subgroups
- Endotrivial modules for finite groups via homotopy theory
- From Categories to Homotopy Theory
- Categories and Sheaves
- Homotopy theoretic methods in group cohomology
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