"On triviality of the reduced Whitehead group over Henselian fields" by Abhay Soman
 

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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