Automorphisms of unipotent subgroups of Lie type groups of small ranks

DOI10.1007/BF02001355zbMath0763.20017WikidataQ115393012 ScholiaQ115393012MaRDI QIDQ1174053

V. M. Levchuk

Publication date: 25 June 1992

Published in: Algebra and Logic (Search for Journal in Brave)

zbMATH Keywords

root systemscommutatorsChevalley groupsmaximal unipotent subgroupsstandard automorphismscentral seriesgraph automorphismscentral automorphismstwisted typegroups of rank 1

Mathematics Subject Classification ID

Automorphisms of infinite groups (20E36) Linear algebraic groups over global fields and their integers (20G30) Simple, semisimple, reductive (super)algebras (17B20) Derived series, central series, and generalizations for groups (20F14) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (8)

The generalized Mal'cev problem on abelian subalgebras of the Chevalley algebras ⋮ Automorphisms of unipotent subgroups of Chevalley groups ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Extremal and maximal normal Abelian subgroups of a maximal unipotent subgroup in groups of Lie type. ⋮ On conjugacy in a Chevalley group of large Abelian subgroups of the unipotent subgroup. ⋮ Finite \(p\)-groups ⋮ Enumerations of Ideals in Niltriangular Subalgebra of Chevalley Algebras

Cites Work

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• Automorphisms of certain unipotent groups
• MONOMORPHISMS AND DIRECT LIMITS OF FINITE GROUPS OF LIE TYPE
• On Ree's Series of Simple Groups
• On a class of doubly transitive groups

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