Group cohomology and control of \(p\)-fusion.

DOI10.1007/s00222-013-0489-5zbMath1311.20051arXiv1210.1564OpenAlexW2059167605MaRDI QIDQ464274

Ellen Henke, Jesper Grodal, David John Benson

Publication date: 17 October 2014

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.1564

zbMATH Keywords

Sylow subgroupsfusion systemscontrol of fusionchromatic cohomologycohomology isomorphismsinclusions of finite groupsmod \(p\) cohomology

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Cohomology of groups (20J06) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Homological methods in group theory (20J05) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20)

Related Items (8)

On the focal subgroup of a saturated fusion system ⋮ Radical subgroups of the finite exceptional groups of Lie type \(E_6\). ⋮ A theorem of Mislin for cohomology of fusion systems and applications to block algebras of finite groups ⋮ Control of fusion by Abelian subgroups of the hyperfocal subgroup ⋮ Mislin’s theorem for fusion systems through Mackey functors ⋮ Nilpotent fusion systems ⋮ Fusion systems ⋮ A cohomological characterization of nilpotent fusion systems

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