Asymptotics for the enumeration of commuting matrices over finite fields | Synapse
October 3, 2025Open Access
Asymptotics for the enumeration of commuting matrices over finite fields
Key Points
The study provides asymptotic expressions for the enumeration of commuting matrices.
It uses product expansions for the associated generating functions, which are central to the methodology.
The findings may enhance understanding of matrix theory within the context of finite fields.
Future work could extend these methods to other areas in linear algebra and combinatorics.
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.