Elements in reductive algebraic groups with Abelian connected centralizers.

DOI10.1016/j.jalgebra.2012.03.015zbMath1261.20048OpenAlexW1993317508MaRDI QIDQ1758255

Xianqiang Yang

Publication date: 8 November 2012

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2012.03.015

zbMATH Keywords

regular elementscentralizersreductive algebraic groupsunipotent elements

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15)

Related Items (2)

On base sizes for algebraic groups ⋮ Unipotent Overgroups in Simple Algebraic Groups

Cites Work

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• The conjugate classes of unipotent elements of the Chevalley groups \(E_ 7\) and \(E_ 8\).
• Centralizers of irregular elements in reductive algebraic groups
• Nilpotency in classical groups over a field of characteristic 2
• The conjugate classes of Chevalley groups of type \((G_2)\)
• On base sizes for algebraic groups
• Centres of centralizers of unipotent elements in simple algebraic groups
• The maximal subgroups of positive dimension in exceptional algebraic groups
• Jordan block sizes of unipotent elements in exceptional algebraic groups
• The centralizer of a regular unipotent element in a semisimple algebraic group

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