Difference between revisions of "Galois extension"
From Encyclopedia of Mathematics
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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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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=21565
Galois extension. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Galois_extension&oldid=21565