Branching rules and commuting probabilities for Triangular and Unitriangular matrices

DOI10.1142/S0219498822502310MaRDI QIDQ5039775

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Publication date: 4 October 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.01493

zbMATH Keywords

branching rulestriangular groupcommuting tuples of matricescommuting probabilityunitriangular group

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Linear algebraic groups over finite fields (20G40)

Uses Software

• SageMath

Cites Work

• Simultaneous similarity classes of commuting matrices over a finite field
• Conjugacy classes in Sylow \(p\)-subgroups of \(GL(n,q)\)
• Belitskiĭ's canonical form for \(5\times 5\) upper triangular matrices under upper triangular similarity
• On the commuting probability in finite groups.
• Conjugacy classes in Sylow p-subgroups of GL(n,q), II
• Conjugacy classes of centralizers in the group of upper triangular matrices
• Branching rules for unitary and symplectic matrices

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