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.
Original language | English |
---|---|
Pages (from-to) | 97-106 |
Number of pages | 10 |
Journal | Journal of Number Theory |
Volume | 153 |
DOIs | |
State | Published - Aug 1 2015 |
Keywords
- Amano
- Artin-Schreier extensions
- Eisenstein
- Isomorphism classes
- Klopsch
- Local field extensions
- Totally ramified
- Wildly ramified