A characterization of ramification groups of local fields with imperfect residue field

Takeshi Saito

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arXiv · 2004.03770

A characterization of ramification groups of local fields with imperfect residue field

Takeshi Saito

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Abstract

We give a characterization of ramification groups of local fields with imperfect residue fields, using those for local fields with perfect residue fields. As an application, we reprove an equality of ramification groups for abelian extensions defined in different ways.

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Takeshi Saito. 2020-04-08. A characterization of ramification groups of local fields with imperfect residue field. https://arxiv.org/abs/2004.03770

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