Definitions for galois theory
This page provides all possible meanings and translations of the word galois theory
group theory applied to the solution of algebraic equations
The branch of mathematics dealing with Galois groups, Galois fields, and polynomial equations.
Origin: Named after Evariste Galois.
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>.