A spectral sequence for fusion systems

DOI10.2140/agt.2014.14.349zbMath1297.55019arXiv1109.1952OpenAlexW3103828830MaRDI QIDQ390352

Antonio Díaz Ramos

Publication date: 8 January 2014

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

Full work available at URL: https://arxiv.org/abs/1109.1952

zbMATH Keywords

fusion systemLyndon-Hochschild-Serre spectral sequencestrongly closed subgroupTate's nilpotency criterion

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Serre spectral sequences (55T10)

Related Items (3)

On the cohomology of pro-fusion systems ⋮ Domination of blocks, fusion systems and hyperfocal subgroups ⋮ A cohomological characterization of nilpotent fusion systems

Cites Work

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• Strongly closed subgroups of finite groups.
• Control of fusion and solubility in fusion systems
• Realizing a fusion system by a single finite group.
• Nilpotent \(p\)-local finite groups.
• Nilpotent quotient groups
• Classifying spectra of saturated fusion systems
• Homology and central series of groups
• Tate's and Yoshida's theorems on control of transfer for fusion systems
• All 𝑝-local finite groups of rank two for odd prime 𝑝
• Extensions of $p$-local finite groups
• Normal subsystems of fusion systems
• The homotopy theory of fusion systems
• Homology

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