Wild division algebras over Laurent series fields

Alexander Zheglov

Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 23 pages

MSC 2000

16K50 Brauer groups
16K20 Finite-dimensional

We prove a decomposition theorem for wild division algebras over a Laurent series field with arbitrary residue field of characteristik greater than two. This theorem is a generalization of the decomposition theorems for tame division algebras given by Jacob and Wadsworth. Also we prove a generalization of Cohen's theorem.

Keywords: valuation, division algebras