k-Isomorphism Classes of Local Field Extensions
classification
🧮 math.NT
keywords
classesextensionsfieldk-isomorphismdegreelocalramifiedrepresentatives
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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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