## arXiv Analytics

### arXiv:2104.03299 [math.NT]AbstractReferencesReviewsResources

#### On the First Cohomology of Local Units

Published 2021-04-07Version 1

In the theory of local fields we have the well-known filtration of unit groups. In this short paper we compute the first cohomology groups of unit gorups for a finite Galois extension of local fields. We show that these cohomology groups are closely related to the ramification indices.

Categories: math.NT
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