A surname from French. / French mathematician Évariste Galois

plural of Galois extension

plural of Galois connection

(category theory, order theory) A type of correspondence between partially ordered sets (posets), also applicable to preordered sets.

(algebra, Galois theory) An algebraic extension that is both a normal and a separable extension; equivalently, an algebraic extension E/F such that the fixed field of its automorphism group (Galois group) Aut(E/F) is the base field F.

plural of Galois theory

(algebra) A finite field.

plural of Galois field

(algebra, Galois theory) The automorphism group of a Galois extension.

plural of Galois group