k-Isomorphism Classes of Local Field Extensions
Number Theory
2015-01-23 v1
Abstract
Let K be a local field of characteristic p with perfect residue field k. In this paper we find a set of representatives for the k-isomorphism classes of totally ramified separable extensions L/K of degree p. This extends work of Klopsch, who found representatives for the k-isomorphism classes of totally ramified Galois extensions L/K of degree p.
Cite
@article{arxiv.1501.05532,
title = {k-Isomorphism Classes of Local Field Extensions},
author = {Duc Van Huynh and Kevin Keating},
journal= {arXiv preprint arXiv:1501.05532},
year = {2015}
}
Comments
9 pages