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arXiv · 1501.05532

k-Isomorphism Classes of Local Field Extensions

Duc Van Huynh·Kevin Keating
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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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Duc Van Huynh, Kevin Keating. 2015-01-22. k-Isomorphism Classes of Local Field Extensions. https://arxiv.org/abs/1501.05532

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