Conjugacy classes in sylow p-subgroups of GL(n, q), IV

DOI10.1017/S0017089500030597zbMath0810.20039MaRDI QIDQ4291606

Antonio Vera-López, Jesus Maria Arregi

Publication date: 17 April 1995

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

conjugacy classescentralizersSylow \(p\)-subgroups of \(GL(n,q)\)

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Subgroup theorems; subgroup growth (20E07)

Related Items

Equalities on the number of conjugacy classes of the Sylow \(p\)-subgroups of \(GL(n,q)\). ⋮ Upper triangular similarity of upper triangular matrices ⋮ Enumerating classes and characters of 𝑝-groups ⋮ A generalization of Catalan numbers ⋮ Conjugacy classes in unitriangular matrices. ⋮ 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. ⋮ Combinatorics related to Higman's conjecture. I: Parallelogramic digraphs and dispositions ⋮ Polynomial properties in unitriangular matrices ⋮ Belitskii's canonical forms of upper triangular nilpotent matrices under upper triangular similarity

Cites Work

• Conjugacy classes in Sylow \(p\)-subgroups of \(GL(n,q)\)
• Enumerating p -Groups. I: Inequalities
• Conjugacy classes in Sylow p-subgroups of GL(n,q), II