JP Journal of Algebra, Number Theory and Applications
Volume 30, Issue 2, Pages 173 - 190
(September 2013)
|
|
ARTIN-SCHREIER AND CYCLOTOMIC EXTENSIONS
Julio Cesar Salas-Torres, Martha Rzedowski-Calderón and Gabriel Villa-Salvador
|
Abstract: From class field theory, we have that any Artin-Schreier extension of a rational congruence function field is contained in the composite of cyclotomic function fields and a constant field extension. In this paper, we prove this result without using class field theory. |
Keywords and phrases: congruence function fields, global fields, cyclotomic function fields, Artin-Schreier extensions. |
|
Number of Downloads: 424 | Number of Views: 1251 |
|