Computation of the norm factor group over Henselian fields and tame Brauer group of generalized local fields

Abstract

Let F be a Henselian field. For a finite extension K of F, the norm factor group [Formula: see text] is computed. As an application, structure of the tame Brauer group of a generalized local field is determined. In particular, we observe that every torsion divisible abelian group is realizable as the tame Brauer group of a generalized local field.