Galois theory/Related Articles

See also changes related to Galois theory, or pages that link to Galois theory or to this page or whose text contains "Galois theory".

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Parent topics

• Field theory (mathematics) [r]: A subdiscipline of abstract algebra that studies fields, which are mathematical constructs that generalize on the familiar concepts of real number arithmetic. ^[e]

Subtopics

• Normal extension [r]: A field extension which contains all the roots of an irreducible polynomial if it contains one such root. ^[e]
• Normal closure [r]: Add brief definition or description
• Splitting field [r]: A field extension generated by the roots of a polynomial. ^[e]

Other related topics

• Evariste Galois [r]: Add brief definition or description
• Field automorphism [r]: An invertible function from a field onto itself which respects the field operations of addition and multiplication. ^[e]
• Polynomial [r]: A formal expression obtained from constant numbers and one or indeterminates; the function defined by such a formula. ^[e]