Centric linking systems of locally finite groups

DOI10.1016/j.topol.2022.108082zbMath1487.55024arXiv1702.03995OpenAlexW2599445806MaRDI QIDQ2131812

Rémi Molinier

Publication date: 27 April 2022

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

Full work available at URL: https://arxiv.org/abs/1702.03995

zbMATH Keywords

classifying spacelocally finite groupSylow \(p\)-subgrouplinking system

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)

Cites Work

• Unnamed Item
• Existence and uniqueness of linking systems: Chermak's proof via obstruction theory
• Discrete models for the \(p\)-local homotopy theory of compact Lie groups and \(p\)-compact groups
• Homotopy equivalences of \(p\)-completed classifying spaces of finite groups
• Homotopy limits, completions and localizations
• The homotopy theory of fusion systems
• Equivalences of classifying spaces completed at odd primes
• Equivalences of classifying spaces completed at the prime two

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