splitting field

(redirected from Galois closure)

splitting field

[′splid·iŋ ‚fēld]
(mathematics)
References in periodicals archive ?
G be a transitive permutation group of degree n [greater than or equal to] 2, F a number field, and [sigma] a possible signature of the infinite places of a degree n extension K/F with the Galois group of the Galois closure of K/F is isomorphic to G.