11 citations · 29 across the 9 of their papers we have counts for
7 papers · 1 filter
Galois subfields of tame division algebras
Timo Hanke, Danny Neftin, Adrian Wadsworth
We show that a finite-dimensional tame division algebra D over a Henselian field F has a maximal subfield Galois over F if and only if its residue division algebra has a maximal su…
Noncrossed product bounds over Henselian fields
Timo Hanke, Danny Neftin, Jack Sonn
The existence of finite dimensional central division algebras with no maximal subfield that is Galois over the center (called noncrossed products), was for a time the biggest open…
Galois subfields of inertially split division algebras
Timo Hanke
Let D be a valued division algebra, finite-dimensional over its center F. Assume D has an unramified splitting field. The paper shows that if D contains a maximal subfield which is…
A Direct Approach to Noncrossed Product Division Algebras
Timo Hanke
A valuation theoretic approach is presented that directly leads to division algebras that are noncrossed products (instead of, e.g., describing Brauer classes of noncrossed product…
Noncrossed products in Witt's Theorem
Timo Hanke, Jack Sonn
Since Amitsur's discovery of noncrossed product division algebras more than 35 years ago, their existence over more familiar fields has been an object of investigation. Brussel's w…
A twisted Laurent series ring that is a noncrossed product
Timo Hanke
The striking results on noncrossed products were their existence (Amitsur) and the determination of Q(t) and Q((t)) as their smallest possible centres (Brussel). This paper gives t…