Webb's conjecture for fusion systems.

DOI10.1007/s11856-008-1044-8zbMath1177.20017OpenAlexW2088697896WikidataQ122898961 ScholiaQ122898961MaRDI QIDQ1001404

Assaf Libman

Publication date: 17 February 2009

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-008-1044-8

zbMATH Keywords

block cohomologyfusion systemsweak homotopy equivalencesWebb conjecture

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Series and lattices of subgroups (20D30) Modular representations and characters (20C20) Cohomology of groups (20J06) Chain complexes in algebraic topology (55U15)

Related Items (4)

Higher limits over the fusion orbit category ⋮ Saturated fusion systems with parabolic families. ⋮ Contractibility of the orbit space of the 𝑝-subgroup complex via Brown-Forman discrete Morse theory ⋮ A stronger reformulation of Webb's conjecture in terms of finite topological spaces

Cites Work

• Transformation groups
• Homotopy equivalence of posets with a group action
• Euler characteristics of discrete groups and G-spaces
• Homotopy properties of the poset of nontrivial p-subgroups of a group
• The orbit space of the \(p\)-subgroup complex is contractible
• Amalgams, blocks, weights, fusion systems and finite simple groups.
• Homotopy limits, completions and localizations
• The orbit space of a fusion system is contractible
• High dimensional cohomology of discrete groups
• The homotopy theory of fusion systems
• Simplicial homotopy theory

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