Artin-Schreier theorem

From Encyclopedia of Mathematics
Revision as of 17:20, 7 February 2011 by (talk) (Importing text file)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

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).


[a1] S. Lang, "Algebra" , Addison-Wesley (1974)
How to Cite This Entry:
Artin-Schreier theorem. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by M. Hazewinkel (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article