@misc{10481/98617,
year = {2023},
url = {https://hdl.handle.net/10481/98617},
abstract = {We explore the concept of conjugation between subgroupoids, providing several characteriza- tions of the conjugacy relation (Theorem A in §1.2). We show that two finite groupoid-sets, over a locally strongly finite groupoid, are isomorphic, if and only if, they have the same number of fixed points with respect to any subgroupoid with a single object (Theorem B in §1.2). Lastly, we examine the ghost map of a finite groupoid and the idempotents elements of its Burnside algebra. The exposition includes an Appendix where we gather the main general technical notions that are needed along the paper.},
publisher = {BULLETIN MATHÉMATIQUE  de la Société des Sciences  Mathématiques de Roumanie (Bull. Math. Soc. Sci. Math. Roumanie)},
title = {On Burnside Theory for groupoids},
author = {El Kaoutit Zerri, Laiachi and Spinosa, Leonardo},
}