Some algorithms for the calculation of conjugacy classes in the Sylow \(p\)-subgroups of \(\text{GL}(n,q)\)

DOI10.1006/jabr.1995.1333zbMath0839.20061OpenAlexW2071801548MaRDI QIDQ1904244

Antonio Vera-López, Jesus Maria Arregi

Publication date: 8 April 1996

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

Full work available at URL: https://doi.org/10.1006/jabr.1995.1333

zbMATH Keywords

algorithmsfinite linear groupsSylow \(p\)-subgroupsnumber of conjugacy classesupper unitriangular matrices

Mathematics Subject Classification ID

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 (13)

Equalities on the number of conjugacy classes of the Sylow \(p\)-subgroups of \(GL(n,q)\). ⋮ Conjugacy classes in unitriangular matrices. ⋮ Reduction for characters of finite algebra groups. ⋮ The exact number of conjugacy classes of the Sylow \(p\)-subgroups of \(\text{GL}(n,q)\) modulo \((q-1)^{13}\). ⋮ Computing in unitriangular matrices over finite fields ⋮ Counting conjugacy classes for unitriangular matrices. ⋮ Random matrix theory over finite fields ⋮ Irreducible constituents of minimal degree in supercharacters of the finite unitriangular groups. ⋮ Combinatorics related to Higman's conjecture. I: Parallelogramic digraphs and dispositions ⋮ Counting characters of small degree in upper unitriangular groups. ⋮ Polynomial properties in unitriangular matrices ⋮ Conjugacy classes in parabolic subgroups of general linear groups ⋮ Conjugacy in groups of upper triangular matrices

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