Constructing characters of Sylow \(p\)-subgroups of finite Chevalley groups

DOI10.1016/j.jalgebra.2016.06.039zbMath1370.20006arXiv1512.02678OpenAlexW2963159878MaRDI QIDQ324239

Simon M. Goodwin, Tung Le, Alessandro Paolini, Kay Magaard

Publication date: 10 October 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.02678

zbMATH Keywords

charactersChevalley groupsSylow \(p\)-subgroups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Ordinary representations and characters (20C15) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Representation theory for linear algebraic groups (20G05)

Related Items (6)

On the decomposition numbers of \(\mathrm{SO}_8^+(2^f)\) ⋮ The irreducible characters of the Sylow \(p\)-subgroups of the Chevalley groups \(\mathrm{D}_{6}(p^f)\) and \(\mathrm{E}_{6}(p^f)\) ⋮ Supercharacter theories for Sylow \(p\)-subgroups of the Ree groups ⋮ Character tables of Sylow p-subgroups of the Steinberg triality groups ³D₄(q³) ⋮ On the characters of Sylow $p$-subgroups of finite Chevalley groups $G(p^f)$ for arbitrary primes ⋮ Supercharacter theories for Sylow p-subgroups of Lie type G₂

Uses Software

• GAP
• CHEVIE

Cites Work

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• Ad-nilpotent ideals of a Borel subalgebra. II.
• CHEVIE -- A system for computing and processing generic character tables
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• Representations of Unitriangular Groups
• On the characters of the Sylow -subgroups of untwisted Chevalley groups
• On the Decomposition Numbers of Steinberg's Triality Groups³D₄(2ⁿ) in Odd Characteristics
• Calculating conjugacy classes in Sylow -subgroups of finite Chevalley groups of rank six and seven
• Supercharacters and superclasses for algebra groups
• The basic character table of the unitriangular group

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