Computing in unitriangular matrices over finite fields

DOI10.1016/j.laa.2004.02.008zbMath1051.65048OpenAlexW1974542444MaRDI QIDQ1434395

Antonio Vera-López, Jesus Maria Arregi

Publication date: 4 August 2004

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2004.02.008

zbMATH Keywords

algorithmsconjugacy classesunitriangular matricesKirillov conjectureIsaac's conjecture

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Linear algebraic groups over finite fields (20G40) Matrices over special rings (quaternions, finite fields, etc.) (15B33)

Related Items (5)

Iterative character constructions for algebra groups. ⋮ Exotic characters of unitriangular matrix groups. ⋮ Combinatorics related to Higman's conjecture. I: Parallelogramic digraphs and dispositions ⋮ Supercharacter formulas for pattern groups ⋮ Unitriangular actions on quadratic forms and character degrees.

Cites Work

• Unnamed Item
• Conjugacy classes in Sylow \(p\)-subgroups of \(GL(n,q)\)
• Conjugacy in groups of upper triangular matrices
• Conjugacy classes in unitriangular matrices.
• Some algorithms for the calculation of conjugacy classes in the Sylow \(p\)-subgroups of \(\text{GL}(n,q)\)
• Enumerating p -Groups. I: Inequalities
• Conjugacy classes in Sylow p-subgroups of GL(n,q), II
• Conjugacy classes in sylow p-subgroups of GL(n, q), IV
• Sylow p-Subgroups of the General Linear Group Over Finite Fields of Characteristic p

This page was built for publication: Computing in unitriangular matrices over finite fields