Preprint A554/2007
Some remarks on the Hasse-Arf theorem

Henning Stichtenoth | Garcia, Arnaldo

**Keywords: **
p-extensions | elementary abelian | ramification groups | different exponents

We give a very simple proof of Hasse-Arf theorem in the particular case where the extension is Galois with an elementary-abelian Galois group of exponent $p$. It just uses the transitivity of different exponents and Hilbert's different formula.