A family of fusion systems related to the groups \(\mathrm{Sp}_4(p^a)\) and \(\mathrm G_2(p^a)\).

DOI10.1007/s00013-015-0751-8zbMath1341.20018arXiv1409.5102OpenAlexW2028136538MaRDI QIDQ2340319

Gernot Stroth, Christopher Parker

Publication date: 16 April 2015

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.5102

zbMATH Keywords

symplectic groupsfinite simple groupsSylow subgroupsexotic fusion systemsextraspecial \(p\)-groups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Finite nilpotent groups, (p)-groups (20D15) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (8)

Fusion systems over a Sylow \(p\)-subgroup of \(\mathrm{G}_2(p)\) ⋮ An improved 3-local characterization of McL and its automorphism group. ⋮ Proving a conjecture for fusion systems on a class of groups ⋮ Punctured groups for exotic fusion systems ⋮ Finite Groups Which are Almost Groups of Lie Type in Characteristic 𝐩 ⋮ Fusion systems containing pearls ⋮ Fusion systems ⋮ Algorithms for fusion systems with applications to 𝑝-groups of small order

Cites Work

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• Irreducible modules and parabolic subgroups
• Two families of exotic fusion systems.
• Amalgams, blocks, weights, fusion systems and finite simple groups.
• Existence of Strongly p-Embedded Subgroups

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