Extremal and maximal normal Abelian subgroups of a maximal unipotent subgroup in groups of Lie type.

DOI10.1016/j.jalgebra.2011.10.025zbMath1251.20043OpenAlexW2003662551WikidataQ115351161 ScholiaQ115351161MaRDI QIDQ420673

Vladimir M. Levchuk, Galina S. Suleimanova

Publication date: 23 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.10.025

zbMATH Keywords

large Abelian subgroupsgroups of Lie typeextremal subgroupsmaximal Abelian normal subgroupsunipotent subgroups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Maximal subgroups (20E28) Special subgroups (Frattini, Fitting, etc.) (20D25) Simple groups: alternating groups and groups of Lie type (20D06) Other matrix groups over fields (20H20)

Related Items (10)

The generalized Mal'cev problem on abelian subalgebras of the Chevalley algebras ⋮ The niltriangular subalgebra of the Chevalley algebra: the enveloping algebra, ideals, and automorphisms ⋮ Unnamed Item ⋮ Обобщение задачи А. И. Мальцева о коммутативных подалгебрах на алгебры Шевалле ⋮ Enveloping algebras and ideals of the niltriangular subalgebra of the Chevalley algebra ⋮ Unnamed Item ⋮ Generalized reduced Mal'tsev problem on commutative subalgebras of \(E_6\) type Chevalley algebras over a field ⋮ Nonfinitary algebras and their automorphism groups ⋮ Enumerations of Ideals in Niltriangular Subalgebra of Chevalley Algebras ⋮ The Highest Dimension of Commutative Subalgebras in Chevalley Algebras

Cites Work

• On conjugacy in a Chevalley group of large Abelian subgroups of the unipotent subgroup.
• Automorphisms and normal structure of unipotent subgroups of finitary Chevalley groups.
• The normal structure of unipotent subgroups in Lie-type groups and related questions.
• Automorphisms of unipotent subgroups of Lie type groups of small ranks
• Relation of the unitriangular group to certain rings. I
• Isomorphisms of certain locally nilpotent finitary groups and associated rings.
• Automorphisms of certain unipotent groups
• Subgroups of finite Chevalley groups
• Extremal subgroups in twisted Lie type groups
• Extremal Subgroups in Chevalley Groups
• Unique Node Extremal Subgroups in Chevalley Groups
• Sylow p-Subgroups of the General Linear Group Over Finite Fields of Characteristic p
• The automorphism group of certain radical matrix rings
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Extremal and maximal normal Abelian subgroups of a maximal unipotent subgroup in groups of Lie type.