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math.KT2009★ 1 cited
Unitary SK1 of graded and valued division algebras, I
R. Hazrat, A. R. Wadsworth
The reduced unitary Whitehead group SK1 of a graded division algebra equipped with a unitary involution (i.e., an involution of the second kind) and graded by a torsion-free abelia…
math.RA2009
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…
math.RA2009★ 2 cited
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…