A supercharacter theory for Sylow p-subgroups of the Steinberg triality groups

DOI10.1142/S021949881950083XzbMath1481.20025arXiv1611.09287WikidataQ129968604 ScholiaQ129968604MaRDI QIDQ5383861

Yujiao Sun

Publication date: 20 June 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.09287

zbMATH Keywords

supercharacter theorySylow \(p\)-subgroupmonomial linearization

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Finite nilpotent groups, (p)-groups (20D15) Representations of finite groups of Lie type (20C33)

Related Items (3)

Sylow-type theorems for generalized digroups ⋮ Supercharacter theories for Sylow \(p\)-subgroups of the Ree groups ⋮ Supercharacter theories for Sylow p-subgroups of Lie type G₂

Cites Work

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• Conjugacy classes in unitriangular matrices.
• Basic characters of the unitriangular group
• Supercharacters of unipotent groups defined by involutions.
• A supercharacter theory for involutive algebra groups.
• Irreducible characters of Sylow \(p\)-subgroups of the Steinberg triality groups \({}^3D_4(p^{3m})\)
• Supercharacter Theories Constructed by the Method of Little Groups
• Supercharacter Theory Constructions Corresponding to Schur Ring Products
• Supercharacters and superclasses for algebra groups
• Simple Groups and Simple Lie Algebras

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