Difference between revisions of "Artin-Schreier theorem"
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Revision as of 17:43, 24 March 2012
The Artin–Schreier theorem for extensions 
of degree 
of a field 
of characteristic 
states that every such Galois extension is of the form 
, where 
is the root of a polynomial of the form 
, an Artin–Schreier polynomial.
If 
is a function field, these polynomials define Artin–Schreier curves, which in turn give rise to Artin–Schreier codes (cf. Artin–Schreier code).
References
| [a1] | S. Lang, "Algebra" , Addison-Wesley (1974) |
How to Cite This Entry:
Artin-Schreier theorem. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Artin-Schreier_theorem&oldid=22029
Artin-Schreier theorem. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Artin-Schreier_theorem&oldid=22029
This article was adapted from an original article by M. Hazewinkel (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article