2 citations · 4 across the 5 of their papers we have counts for
5 papers
Subfields of nondegenerate tame semiramified division algebras
Karim Mounirh, A. R. Wadsworth
We show in this article that in many cases the subfields of a nondegenerate tame semiramified division algebra of prime power degree over a Henselian valued field are inertial fiel…
Valuations on Algebras with Involution
J. -P. Tignol, A. R. Wadsworth
Let A be a central simple algebra with involution sigma of first or second kind. Let v be a valuation on the sigma-fixed part F of Z(A). A sigma-special v-gauge g on A is a kind of…
On maximal Subgroups of the multiplicative group of a division algebra
R. Hazrat, A. R. Wadsworth
The question of existence of a maximal subgroup in the multiplicative group D* of a division algebra D finite dimensional over its center F is investigated. We prove that if D* has…
SK1 for graded division algebras
R. Hazrat, A. R. Wadsworth
The reduced Whitehead group $\SK$ of a graded division algebra graded by a torsion-free abelian group is studied. It is observed that the computations here are much more straightfo…
The first two cohomology groups of some Galois groups
Jan Minac, Adrian Wadsworth
We investigate the first two Galois cohomology groups of -extensions over a base field which does not necessarily contain a primitive th root of unity. We use twisted coeffic…