Cohomología de Galois y el Problema de Inmersión

Abstract

This text is the required master thesis that the author needs to present in order to obtain his Master’s degree in mathematics. It introduces the Galois embedding problem, focusing in Brauer type embedding problems, which can be studied through the second cohomology group and the relative Brauer group. With that purpose, the cohomology groups H (superscript i)for i = 0, 1, 2 are introduced as well as the required tools of central simple algebras required to define and understand the Brauer group and deal with the obstructions of the problems.