Calculating conjugacy classes in Sylow -subgroups of finite Chevalley groups of rank six and seven

DOI10.1112/S1461157013000284zbMath1297.20048arXiv1302.6904OpenAlexW3099598910MaRDI QIDQ5170252

Simon M. Goodwin, Peter Mosch, Gerhard Röhrle

Publication date: 23 July 2014

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.6904

zbMATH Keywords

algorithmsnumbers of conjugacy classesSylow subgroupsfinite Chevalley groups

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Conjugacy classes for groups (20E45) Linear algebraic groups over finite fields (20G40) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Software, source code, etc. for problems pertaining to group theory (20-04)

Related Items

On the coadjoint orbits of maximal unipotent subgroups of reductive groups. ⋮ Constructing characters of Sylow \(p\)-subgroups of finite Chevalley groups ⋮ On the characters of the Sylow -subgroups of untwisted Chevalley groups ⋮ The irreducible characters of the Sylow \(p\)-subgroups of the Chevalley groups \(\mathrm{D}_{6}(p^f)\) and \(\mathrm{E}_{6}(p^f)\) ⋮ Supercharacter theories for Sylow \(p\)-subgroups of the Ree groups ⋮ Character tables of Sylow p-subgroups of the Steinberg triality groups ³D₄(q³) ⋮ The Modality of a Borel Subgroup in a Simple Algebraic Group of Type E₈ ⋮ Supercharacter theories for Sylow p-subgroups of Lie type G₂

Uses Software

• GAP

Cites Work

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