Character tables of parabolic subgroups of Steinberg's triality groups.

DOI10.1016/j.jalgebra.2004.07.012zbMath1070.20015OpenAlexW2014722240MaRDI QIDQ1887487

Frank Himstedt

Publication date: 26 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.07.012

zbMATH Keywords

parabolic subgroupscharacter tablesSteinberg triality groupsunipotent characters

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33)

Related Items (7)

On the 2-decomposition numbers of Steinberg's triality groups \(^3D_4(q)\), \(q\) odd. ⋮ On Huppert's conjecture for \(^3D_4(q)\), \(q\geq 3\). ⋮ Triangle generation of finite exceptional groups of low rank. ⋮ Cross characteristic representations of 3 D 4(q) are reducible over proper subgroups ⋮ Uno's invariant conjecture for Steinberg's triality groups in defining characteristic. ⋮ Character tables of parabolic subgroups of Steinberg's triality groups \(^3D_4(2^n)\). ⋮ Variations on the Baer-Suzuki theorem.

Uses Software

• GAP
• Maple
• CHEVIE

Cites Work

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• Caractères unipotents de \({}^ 3D_ 4({\mathbb{F}}_ q)\)
• Decomposition numbers of \(\text{Sp}(4,q)\)
• CHEVIE -- A system for computing and processing generic character tables
• Character Table and Blocks of Finite Simple Triality Groups 3 D 4 (q)
• Generalized gelfand-graev characters for steinberg's triality groups and their applications
• Endliche Gruppen I

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