Cohomology with twisted coefficients of the classifying space of a fusion system

DOI10.1016/J.TOPOL.2016.09.001zbMath1364.55015arXiv1504.03191OpenAlexW2102620906MaRDI QIDQ321389

Rémi Molinier

Publication date: 13 October 2016

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.03191

zbMATH Keywords

cohomology of groups\(p\)-local finite groupsfusion systems of \(p\)-groups

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Homology with local coefficients, equivariant cohomology (55N25)

Related Items (2)

LHS-spectral sequences for regular extensions of categories ⋮ A cohomological characterization of nilpotent fusion systems

Cites Work

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• Fusion systems and localities.
• \(p\)-local finite group cohomology.
• Set functors equipped with a double action
• Saturated fusion systems as idempotents in the double Burnside ring.
• Minimal characteristic bisets for fusion systems
• Frobenius categories versus Brauer blocks. The Grothendieck group of the Frobenius category of a Brauer block.
• Extensions of linking systems with \(p\)-group kernel
• Homotopy limits, completions and localizations
• Extensions of $p$-local finite groups
• The homotopy theory of fusion systems
• Subgroup families controlling p-local finite groups

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