3 citations · 7 across the 6 of their papers we have counts for
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Unitary SK_1 for a Graded Division Ring and its Quotient Division Ring
A. R. Wadsworth, V. I. Yanchevskii
Let E be a graded division ring finite-dimensional over its center with torsion-free abelian grade group, and let q(E) be its quotient division ring. Let tau be a degree-preserving…
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…