2 problems

Let $E$ be a field with cohomological dimension $cd(E)$, and let $A$ be a central simple algebra over $E$. Denote its reduced Whitehead group by $SK_1(A)$. Suslin's conjecture. If…

Let $E$ be a field and let $A$ be a central simple algebra over $E$. Its reduced Whitehead group is denoted by $SK_1(A)$. Triviality conjecture. The group $SK_1(A)$ is trivial for…