Fundamental Theorem of Galois Normal extension of ![]() Automorphism group of
with as a fixed field Intermediate field that satisfies ![]() Subgroup that satisfies ![]()
and
have the following one-to-one relation: .In other words, intermediate fields of a normal extension and subgroups of an automorphism group have a one-to-one relation. An automorphism group is denominated a Galois group. [0]Top |
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