Fusion systems realizing certain Todd modules

DOI10.1515/jgth-2022-0074OpenAlexW4308354304MaRDI QIDQ2700591

Robert Oliver

Publication date: 27 April 2023

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.07750

Mathematics Subject Classification ID

Group theory and generalizations (20-XX)

Cites Work

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• Simple fusion systems over \(p\)-groups with abelian subgroup of index \(p\). I.
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• The modular characters of the Mathieu groups
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• An identification of \(Co_1\).
• On subgroups of.O. II. Local structure
• Semi-extraspezielle p-Gruppen
• Some amalgams in characteristic \(3\) related to \(Co_ 1\)
• Reduced fusion systems over \(p\)-groups with abelian subgroup of index \(p\). II
• Construction of 2-local finite groups of a type studied by Solomon and Benson
• A 3-local characterization of \(Co_2\).
• Fusion systems on a Sylow 3-subgroup of the McLaughlin group
• Frobenius categories.
• AN IDENTIFICATION THEOREM FOR GROUPS WITH SOCLE PSU
• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
• The generalized Fitting subsystem of a fusion system
• Equivalences between fusion systems of finite groups of Lie type
• Extensions of $p$-local finite groups
• Saturated fusion systems over $2$-groups
• Overgroups of Sylow subgroups in sporadic groups
• The projective characters of the Mathieu group M₁₂ and of its automorphism group
• Reduced fusion systems over p-groups with abelian subgroup of index p: III
• Algorithms for fusion systems with applications to 𝑝-groups of small order
• Simplicity of fusion systems of finite simple groups
• Automorphisms of fusion systems of finite simple groups of Lie typeandAutomorphisms of fusion systems of sporadic simple groups
• LOCAL CHARACTERISTIC $p$ COMPLETIONS OF WEAK $BN$-PAIRS

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