Fusion systems for profinite groups

DOI10.1112/JLMS/JDT074zbMath1329.20037arXiv1204.2582OpenAlexW2125992553MaRDI QIDQ5414696

Peter Symonds, Radu Stancu

Publication date: 7 May 2014

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.2582

zbMATH Keywords

pro-\(p\) groupsprofinite groupsstrongly closed subgroupsAlperin fusion theoreminverse limits of fusion systemspro-fusion systemspro-saturated fusion systemsSylow pro-\(p\) subgroups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Modular representations and characters (20C20) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Limits, profinite groups (20E18)

Related Items (2)

On the cohomology of pro-fusion systems ⋮ Fusion systems

Cites Work

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• Control of fusion and solubility in fusion systems
• Fusion in profinite groups
• On periodic compact groups
• Simple fusion systems and the Solomon 2-local groups.
• Frobenius categories.
• On the definition of saturated fusion systems
• CONTROL OF FUSION IN FUSION SYSTEMS
• Normal subsystems of fusion systems
• The homotopy theory of fusion systems

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