Conjugacy classes in parabolic subgroups of general linear groups

DOI10.1515/JGT.2008.058zbMath1168.20021arXiv0801.3178OpenAlexW2964285158MaRDI QIDQ3619538

Anton Evseev

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/0801.3178

zbMATH Keywords

parabolic subgroupsnumbers of conjugacy classesnilpotent elementsfinite general linear groupsunipotent conjugacy classes

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 (2)

Groups, Graphs, and Hypergraphs: Average Sizes of Kernels of Generic Matrices with Support Constraints ⋮ Characters of the Sylow \(p\)-subgroups of the Chevalley groups \(D_4(p^n)\).

Cites Work

• Conjugacy classes in Sylow \(p\)-subgroups of \(GL(n,q)\)
• Multiple flag varieties of finite type
• Conjugacy classes in unitriangular matrices.
• Some algorithms for the calculation of conjugacy classes in the Sylow \(p\)-subgroups of \(\text{GL}(n,q)\)
• Representations of Parabolic and Borel Subgroups
• Conjugacy classes in maximal parabolic subgroups of general linear groups

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