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math.RA2011★ 3 cited
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…
math.RA2010★ 3 cited
Unitary SK_1 of semiramified graded and valued division algebras
A. R. Wadsworth
We prove formulas for the unitary SK_1 of a semiramified graded division algebra (or valued division algebra over a Henselian field) with a unitary involution. These formulas gener…