Year: 2026
Type: preprint
Abstract: We investigate the double cosets of a groupoid, focusing primarily on their enumeration, by means of two different approaches. The first approach extends the Cauchy-Frobenius lemma to groupoids and interprets it in terms of groupoid actions. The second approach is based on linear representations of a groupoid arising from its action on a set of functions.
Source: arXiv (Cornell University)
Author: Shiizuka, Keitaro
Institution: Kindai University
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7160447990