English-Finnish translations for galois extension

Definition of galois extension

• 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 Aut is the base field ''F''

Examples

• fundamental theorem of Galois theory
• The fundamental theorem of Galois theory states that there is a one-to-one correspondence between the subfields of a Galois extension and the subgroups of its Galois group

Related words

• galoisian
• Galois theory
• Galois group
• Galois field