Cross characteristic representations of 3 D 4(q) are reducible over proper subgroups

DOI10.1515/JGT.2008.041zbMath1160.20011arXiv0910.4888OpenAlexW2962802045MaRDI QIDQ3534794

Hung Ngoc Nguyen, Pham Hũ'u Tiêp

Publication date: 5 November 2008

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

Full work available at URL: https://arxiv.org/abs/0910.4888

zbMATH Keywords

absolutely irreducible representationsreducible restrictionsSteinberg triality group

Mathematics Subject Classification ID

Representations of finite groups of Lie type (20C33)

Related Items (4)

Cross-characteristic representations of \(\mathrm{Sp}_6(2^a)\) and their restrictions to proper subgroups. ⋮ Irreducible character restrictions to maximal subgroups of low-rank classical groups of types \(B\) and \(C\) ⋮ Subgroup structure and representations of finite and algebraic groups. ⋮ On the restriction of cross characteristic representations of \(^2F_4(q)\) to proper subgroups.

Cites Work

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• Character tables of parabolic subgroups of Steinberg's triality groups.
• CHEVIE -- A system for computing and processing generic character tables
• Character tables of parabolic subgroups of Steinberg's triality groups \(^3D_4(2^n)\).
• 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
• Basic Sets of Brauer Characters of Finite Groups of Lie Type II
• On finite subgroups of exceptional algebraic groups
• The Character Tables for SL(3, q), SU(3, q²), PSL(3, q), PSU(3, q²)
• Maximal subgroups of finite groups
• Low-dimensional representations of special unitary groups

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