Generalizations of Lagrange and Sylow Theorems for Groupoids

2021/01/19 by Beier, Gustav, Garcia, Christian, Lautenschlaeger, Wesley G. +2 · 1 citation
#20L05 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2101.07420

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.

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• On three generalizations of the group concept: groupoid, generalized group and almost groupoid

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