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Difference between revisions of "Galois extension"

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An [[extension of a field]] that is [[Algebraic extension|algebraic]], [[Normal extension|normal]] and [[Separable extension|separable]]. The study of the automorphism group of such an extension forms part of [[Galois theory]].
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A Galois extension is an algebraic [[Extension of a field|extension of a field]] that is normal and separable. The study of the automorphism group of such an extension forms part of [[Galois theory|Galois theory]].
 

Revision as of 09:29, 31 December 2015

2020 Mathematics Subject Classification: Primary: 12F10 [MSN][ZBL]

of a field

An extension of a field that is algebraic, normal and separable. The study of the automorphism group of such an extension forms part of Galois theory.

How to Cite This Entry:
Galois extension. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Galois_extension&oldid=37196
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