arXiv Analytics

Sign in

arXiv:2104.03299 [math.NT]AbstractReferencesReviewsResources

On the First Cohomology of Local Units

Wei Yin

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.

Related articles: Most relevant | Search more
arXiv:1503.08600 [math.NT] (Published 2015-03-30)
On orthogonal systems of shifts of scaling function on local fields of positive characteristic
arXiv:math/0508509 [math.NT] (Published 2005-08-25, updated 2006-01-05)
On the action of the Weil group on the l-adic cohomology of rigid spaces over local fields
arXiv:2007.06821 [math.NT] (Published 2020-07-14)
Branches in the Bruhat-Tits tree for local fields of even characteristic