Difference between revisions of "Galois extension"
From Encyclopedia of Mathematics
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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]]. | 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 21:55, 5 March 2012
of a field
2020 Mathematics Subject Classification: Primary: 12F10 [MSN][ZBL]
A Galois extension is an algebraic extension of a field that is 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=21148
Galois extension. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Galois_extension&oldid=21148