Title

On triviality of the reduced Whitehead group over Henselian fields

Article Type

Research Article

Publication Title

Archiv der Mathematik

Abstract

Let F be a Henselian field of q-cohomological dimension 3, where q is a prime. Let Γ F be the totally ordered Abelian value group of F and let D be a central division algebra over F of index a power of q such that the characteristic of the residue field F¯ is coprime to q. We show that when 1≤dimFq(ΓF/qΓF)≤3, the reduced Whitehead group of D is trivial.

First Page

237

Last Page

245

DOI

10.1007/s00013-019-01344-3

Publication Date

9-1-2019

Comments

Open Access, Green

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