Mislin’s theorem for fusion systems through Mackey functors

DOI10.1080/00927872.2016.1175607zbMath1372.20050OpenAlexW2557353629MaRDI QIDQ2984971

Sejong Park

Publication date: 12 May 2017

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2016.1175607

zbMATH Keywords

cohomology of groupsfusion systemsMackey functors

Mathematics Subject Classification ID

Modular representations and characters (20C20) Cohomology of groups (20J06) Finite nilpotent groups, (p)-groups (20D15) Local properties of groups (20E25)

Related Items (1)

A categorification of the Cartan-Eilenberg formula

Cites Work

• Fusion systems and localities.
• Existence and uniqueness of linking systems: Chermak's proof via obstruction theory
• Group cohomology and control of \(p\)-fusion.
• Two classifications of simple Mackey functors with applications to group cohomology and the decomposition of classifying spaces
• Biset functors for finite groups
• Simple biset functors and double Burnside ring
• Saturated fusion systems as idempotents in the double Burnside ring.
• Mackey functors and sharpness for fusion systems
• Control of fusion and cohomology of trivial source modules.
• Classifying spectra of saturated fusion systems
• MACKEY FUNCTORS AND CONTROL OF FUSION

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