Asymptotics for the Enumeration of Commuting Matrices over Finite Fields

Symmetry Integrability and Geometry Methods and Applications 2026 Open access

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Authors: Kathrin Bringmann, Shane Chern, Universität Wien, Austria, Johann Franke, Bernhard E. Heim
DOI: 10.3842/sigma.2026.016
Cited by: 0

Abstract

We give asymptotic expressions for the number of commuting matrices over finite fields. For this, we use product expansions for the corresponding generating functions.

Fields of Study & Subjects

Coding theory and cryptography Graph theory and applications Limits and Structures in Graph Theory

Publication details

Journal / source
Symmetry Integrability and Geometry Methods and Applications
Publication date
19 February 2026
Language
EN