Conjugacy Classes in Sylowp-Subgroups of Finite Chevalley Groups in Bad Characteristic

DOI10.1080/00927872.2013.777845zbMath1293.20047arXiv1201.1381OpenAlexW2114991679MaRDI QIDQ5417974

Simon M. Goodwin, J. D. Bradley

Publication date: 23 May 2014

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

Full work available at URL: https://arxiv.org/abs/1201.1381

zbMATH Keywords

numbers of conjugacy classesSylow subgroupsfinite Chevalley groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Linear algebraic groups over finite fields (20G40) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20)

Related Items (2)

On the coadjoint orbits of maximal unipotent subgroups of reductive groups. ⋮ On the decomposition numbers of \(\mathrm{SO}_8^+(2^f)\)

Uses Software

• GAP

Cites Work

• Reduction for characters of finite algebra groups.
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• On the conjugacy classes in maximal unipotent subgroups of simple algebraic groups.
• Counting conjugacy classes in Sylow \(p\)-subgroups of Chevalley groups.
• The Magma algebra system. I: The user language
• Characters of the Borel and Sylow subgroups of classical groups
• Conjugacy classes in unitriangular matrices.
• Counting characters of upper triangular groups.
• Character Table of a Borel Subgroup of the Ree Groups ²F₄(q²)
• Enumerating p -Groups. I: Inequalities
• Counting conjugacy classes of unitriangular groups associated to finite-dimensional algebras
• Computing in groups of Lie type
• Unipotent Conjugacy in General Linear Groups
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