Torsion in K2 of fields

Motives of Azumaya algebras

“…7.3] and to Suslin in general [35,Cor. 5.7]) is more complicated; however, we do have the following result.…”

On the Kernel and the Image of the Rigid Analytic Regulator in Positive Characteristic

“…Every element k ∈ H 0 (X, K 2,X ) of the kernel of dlog 2 lies in M (F(X)) = n∈N p n K 2 (F(X)) by the Bloch-Gabber-Kato theorem. Since K 2 (F(X)) has no p-torsion by Theorem 1.10 of [23] on page 10, the group…”

On the elements of prime power order in K2of a number field

“…Tate [8] proved that if F is a global field containing ζ n , a primitive nth root of unity, then every element of order n in K 2 (F ) can be written in the form of {ζ n , a}, a ∈ F * . Suslin [7] generalized Tate's result to any field containing ζ n . It is natural to generalize this result further to a field possibly not containing ζ n .…”