Galois theory is about the connection between groups, fields and their extensions. It is the interplay between polynomials, fields, and groups. Galois field is about fields and their extensions. It has got many useful applications in computing and some other areas of abstract algebra and it has also been used to produce many useful theorems.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.