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math.RA2008
SK1 of Azumaya algebras over hensel pairs
R. Hazrat
Let A be an Azumaya algebra of constant rank n^2 over a Hensel pair (R,I) where R is a semilocal ring with n invertible in R. Then the reduced Whitehead group SK(A) coincides with…
math.RA2008
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…
math.RA2008★ 1 cited
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…