Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415391 | Journal of Number Theory | 2015 | 10 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Duc Van Huynh, Kevin Keating,