English Explanatory Dictionary

Galois extension

English dictionary entry

Meanings

noun
  1. 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.

Word forms

Galois extension Galois extensions

Etymology

Named for its connection with Galois theory and after French mathematician Évariste Galois.

Related words

Galois group Hopf-Galois extension

Derived words

differential Galois extension
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