On conjugacy of unipotent elements in finite groups of Lie type

DOI10.1515/JGT.2008.075zbMath1166.20040arXiv0711.2959OpenAlexW2963599701MaRDI QIDQ3619531

Simon M. Goodwin, Gerhard Röhrle

Publication date: 8 April 2009

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.2959

zbMATH Keywords

numbers of conjugacy classesFrobenius morphismreductive algebraic groupsunipotent elements

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Linear algebraic groups over finite fields (20G40) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (3)

The divisibility graph of finite groups of Lie type ⋮ Characters of the Sylow \(p\)-subgroups of the Chevalley groups \(D_4(p^n)\). ⋮ On the endomorphism algebra of generalised Gelfand-Graev representations

Cites Work

• Character sheaves. II
• Instability in invariant theory
• Conjugacy classes in unitriangular matrices.
• Component groups of unipotent centralizers in good characteristic
• Nilpotent orbits in good characteristic and the Kempf-Rousseau theory
• On conjugacy classes of maximal subgroups of finite simple groups, and a related zeta function.
• Parabolic conjugacy in general linear groups.
• Enumerating p -Groups. I: Inequalities
• Affine Coset Spaces of Reductive Algebraic Groups
• Counting conjugacy classes of unitriangular groups associated to finite-dimensional algebras
• Unipotent Conjugacy in General Linear Groups

This page was built for publication: On conjugacy of unipotent elements in finite groups of Lie type