Subgroups of type \(A_1\) containing semiregular unipotent elements.

DOI10.1006/jabr.1997.7099zbMath1058.20506OpenAlexW19561983MaRDI QIDQ1372646

Donna M. Testerman, Gary M. Seitz

Publication date: 1997

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7099

zbMATH Keywords

exceptional groups of Lie typeunipotent elementssimple algebraic groupsconnected simple subgroups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items

Unipotent centralizers in algebraic groups., Rational rigidity for, -TYPE SUBGROUPS CONTAINING REGULAR UNIPOTENT ELEMENTS, On the subgroup structure of exceptional groups of Lie type

Cites Work

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• Extending morphisms from finite to algebraic groups
• The conjugate classes of unipotent elements of the Chevalley groups \(E_ 7\) and \(E_ 8\).
• \(A_ 1\)-type overgroups of elements of order \(p\) in semisimple algebraic groups and the associated finite groups
• Representations of Algebraic Groups
• The Projective Indecomposable Modules of SL(2, p ⁿ )
• Maximal subgroups of exceptional algebraic groups
• [https://portal.mardi4nfdi.de/wiki/Publication:4031442 The Construction of the Maximal A 1 � S in the Exceptional Algebraic Groups]
• Involutions in Chevalley groups over fields of even order
• On finite subgroups of exceptional algebraic groups
• Factorizations of simple algebraic groups
• On the structure of parabolic subgroups