K-Isomorphism classes of local field extensions

Duc Van Huynh, Kevin Keating

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)97-106
Number of pages10
JournalJournal of Number Theory
Volume153
DOIs
StatePublished - Aug 1 2015

Keywords

  • Amano
  • Artin-Schreier extensions
  • Eisenstein
  • Isomorphism classes
  • Klopsch
  • Local field extensions
  • Totally ramified
  • Wildly ramified

Fingerprint

Dive into the research topics of 'K-Isomorphism classes of local field extensions'. Together they form a unique fingerprint.

Cite this