Weakly closed unipotent subgroups in Chevalley groups.

DOI10.1016/j.jalgebra.2005.12.015zbMath1163.20002arXivmath/0511440OpenAlexW2140298900MaRDI QIDQ2498866

Gerhard Röhrle, Robert M. Guralnick

Publication date: 16 August 2006

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

Full work available at URL: https://arxiv.org/abs/math/0511440

zbMATH Keywords

Lie algebrasunipotent radicalsweakly closed subgroupsfinite Chevalley groupsconnected simple algebraic groups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Linear algebraic groups over finite fields (20G40) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Simple groups: alternating groups and groups of Lie type (20D06) Representations of finite groups of Lie type (20C33)

Related Items

A general measuring argument for finite permutation groups ⋮ Subgroups of Lie type groups containing a unipotent radical.

Cites Work

• Root groups
• Small rank permutation representations of finite Chevalley groups
• On the finiteness of the number of unipotent classes
• On normal Abelian subgroups in parabolic groups
• Higher limits via subgroup complexes
• Classification of \(2F\)-modules. I
• Groupes reductifs
• Conjugacy classes in Lie algebras and algebraic groups
• A Measuring Argument for Finite Groups
• The restriction of minuscule representations to parabolic subgroups
• Conjugacy Classes in Parabolic Subgroups of Semisimple Algebraic Groups
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