Classifying spectra of saturated fusion systems

DOI10.2140/agt.2006.6.195zbMath1098.55012arXivmath/0502092OpenAlexW2025030279MaRDI QIDQ2492029

Kári Ragnarsson

Publication date: 1 June 2006

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0502092

zbMATH Keywords

fusion systemsclassifying spectra

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Stable homotopy theory, spectra (55P42)

Related Items (20)

A completion theorem for fusion systems ⋮ A spectral sequence for fusion systems ⋮ On stratification for spaces with noetherian mod p cohomology ⋮ On the composition product of saturated fusion systems. ⋮ Vector bundles over classifying spaces of p‐local finite groups and Benson–Carlson duality ⋮ Transfer and characteristic idempotents for saturated fusion systems ⋮ Simple biset functors and double Burnside ring ⋮ Representation rings for fusion systems and dimension functions ⋮ Group models for fusion systems ⋮ Saturated fusion systems as idempotents in the double Burnside ring. ⋮ Mislin’s theorem for fusion systems through Mackey functors ⋮ Minimal characteristic bisets and finite groups realizing Ruiz-Viruel exotic fusion systems. ⋮ A ghost ring for the left-free double Burnside ring and an application to fusion systems ⋮ The Hecke Algebra of a Frobenius P-Category ⋮ Minimal characteristic bisets for fusion systems ⋮ Wreath products and representations of \(p\)-local finite groups. ⋮ Fusion systems ⋮ Stratification and duality for homotopical groups ⋮ On the homotopy groups of \(p\)-completed classifying spaces ⋮ A formula for \(p\)-completion by way of the Segal conjecture

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Equivariant stable homotopy and Segal's Burnside ring conjecture
• Transformation groups and representation theory
• Stable splittings of classifying spaces of finite groups
• The transfer map and fiber bundles
• Homotopy equivalences of \(p\)-completed classifying spaces of finite groups
• Stable homotopy classification of \(BG_ p^ \land\)
• A Segal conjecture for \(p\)-completed classifying spaces
• A reduction theorem for fusion systems of blocks.
• Alternative stable homotopy classification of \(BG_{p}^{\land}\)
• Homotopy limits, completions and localizations
• RETRACTIVE TRANSFERS AND p-LOCAL FINITE GROUPS
• Infinite Loop Spaces (AM-90)
• The homotopy theory of fusion systems
• Equivalences of classifying spaces completed at odd primes
• Unstable homotopy classification of
• Transfer maps for fibrations
• Equivalences of classifying spaces completed at the prime two

This page was built for publication: Classifying spectra of saturated fusion systems