Galois theory

In mathematics, Galois theory is a branch of abstract algebra.

Related Topics:
Mathematics - Abstract algebra

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At the most basic level, it uses permutation groups to describe how the various roots of a given polynomial equation are related to each other. This was the original point of view of Evariste Galois.

Related Topics:
Permutation group - Root - Polynomial - Evariste Galois

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The modern approach to Galois theory, developed by Richard Dedekind, Leopold Kronecker and Emil Artin, among others, involves studying automorphisms of field extensions.

Related Topics:
Richard Dedekind - Leopold Kronecker - Emil Artin - Automorphism - Field extension

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Further abstraction of Galois theory is achieved by the theory of Galois connections.

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