Reduced fusion systems over \(p\)-groups with abelian subgroup of index \(p\). II

DOI10.1016/j.aim.2017.10.001zbMath1481.20066arXiv1606.05133OpenAlexW1986567216MaRDI QIDQ1678141

Jason Semeraro, David A. Craven, Robert Oliver

Publication date: 14 November 2017

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.05133

zbMATH Keywords

finite groupsfinite simple groupsSylow subgroupsfusionmodular representations

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) 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) Finite nilpotent groups, (p)-groups (20D15)

Related Items

Fusion systems over a Sylow \(p\)-subgroup of \(\mathrm{G}_2(p)\) ⋮ Torsion free endotrivial modules for finite groups of Lie type ⋮ Groups with a \(p\)-element acting with a single non-trivial Jordan block on a simple module in characteristic \(p\) ⋮ A completion theorem for fusion systems ⋮ Weights for \(\ell\)-local compact groups ⋮ Punctured groups for exotic fusion systems ⋮ NONREALIZABILITY OF CERTAIN REPRESENTATIONS IN FUSION SYSTEMS ⋮ Fusion systems realizing certain Todd modules ⋮ Simplicity of fusion systems of finite simple groups ⋮ Fusion systems containing pearls ⋮ Reduced fusion systems over p-groups with abelian subgroup of index p: III ⋮ Fusion systems ⋮ Fusion systems on \(p\)-groups of sectional rank 3 ⋮ Algorithms for fusion systems with applications to 𝑝-groups of small order

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