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k-Isomorphism Classes of Local Field Extensions

Published 22 Jan 2015 in math.NT | (1501.05532v1)

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.

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Authors (2)

  1. Duc Van Huynh 
  2. Kevin Keating 

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