Galois theory /ˈɡælwɑ ˈθi.əɹi/ noun1 •The branch of mathematics dealing with Galois groups, Galois fields, and polynomial equations. It provides a link between field theory and group theory: it permits certain problems in the former to be reduced to the latter, which in some respects is simpler and better understood.In this chapter we present the Galois theory which may be described as the analysis of field extensions by means of automorphism groups. — 1989 formsGalois theories