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.
Selberg Integral over Local Fields
Conductors of wild extensions of local fields, especially in mixed characteristic (0,2)
Computation of $λ_{K/F}$-function, where $K/F$ is a finite Galois extension
![QR code for arXiv:2104.03299 [math.NT]](http://oss.arxitics.com/images/favicon.svg)