ARTIN-SCHREIER AND CYCLOTOMIC EXTENSIONS
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.
congruence function fields, global fields, cyclotomic function fields, Artin-Schreier extensions.
