Injectivity of the Galois map
Given a Galois extension $R^β \subset R$, where $β$ is an action of a finite groupoid on a noncommutative ring, we present some conditions to the Galois map be injective.
math.RA↗
arXiv subjects
Publications and source records attributed to Juliana Pedrotti.
Given a Galois extension $R^β \subset R$, where $β$ is an action of a finite groupoid on a noncommutative ring, we present some conditions to the Galois map be injective.
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.