Generalizations of Lagrange and Sylow Theorems for Groupoids
Rings and Algebras
2021-01-20 v1
Abstract
We show a classification method for finite groupoids and discuss the cardinality of cosets and its relation with the index. We prove a generalization of the Lagrange's Theorem and establish a Sylow theory for groupoids.
Cite
@article{arxiv.2101.07420,
title = {Generalizations of Lagrange and Sylow Theorems for Groupoids},
author = {Gustav Beier and Christian Garcia and Wesley G. Lautenschlaeger and Juliana Pedrotti and Thaísa Tamusiunas},
journal= {arXiv preprint arXiv:2101.07420},
year = {2021}
}