# Definitions for **galois theory**

### This page provides all possible meanings and translations of the word **galois theory**

### Princeton's WordNet

Galois theory(noun)

group theory applied to the solution of algebraic equations

### Wiktionary

Galois theory(Noun)

The branch of mathematics dealing with Galois groups, Galois fields, and polynomial equations.

**Origin:** Named after Evariste Galois.

### Freebase

Galois theory

In mathematics, more specifically in abstract algebra, Galois theory, named after Évariste Galois, provides a connection between field theory and group theory. Using Galois theory, certain problems in field theory can be reduced to group theory, which is in some sense simpler and better understood. Originally Galois used permutation groups to describe how the various roots of a given polynomial equation are related to each other. The modern approach to Galois theory, developed by Richard Dedekind, Leopold Kronecker and Emil Artin, among others, involves studying automorphisms of field extensions. Further abstraction of Galois theory is achieved by the theory of Galois connections.

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"galois theory." *Definitions.net.* STANDS4 LLC, 2014. Web. 21 Oct. 2014. <http://www.definitions.net/definition/galois theory>.