Conjugacy classes in Sylow p-subgroups of GL(n,q), II

DOI10.1017/S0308210500014888zbMath0777.20016MaRDI QIDQ3984127

Antonio Vera-López, Jesus Maria Arregi

Publication date: 27 June 1992

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

conjugacy classesSylow \(p\)-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)

Related Items (10)

Branching rules and commuting probabilities for Triangular and Unitriangular matrices ⋮ Equalities on the number of conjugacy classes of the Sylow \(p\)-subgroups of \(GL(n,q)\). ⋮ Conjugacy classes in sylow p-subgroups of GL(n, q), IV ⋮ 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 ⋮ Combinatorics related to Higman's conjecture. I: Parallelogramic digraphs and dispositions ⋮ Polynomial properties in unitriangular matrices ⋮ Finite \(p\)-groups ⋮ p-power conjugacy classes in U(n,q) and T(n,q)

Cites Work

• Breadth and commutator subgroups of p-groups
• Breadth, class and commutator subgroups of p-groups
• Groups with boundedly finite classes of conjugate elements
• Class and Breadth of a Finite p -Group
• The breadth of finite p-groups, I
• The Breadth and the Class of a Finite P -Group

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