## Cohomological approaches to $SK_1$ and $SK_2$ of central simple algebras.

### Summary

We discuss several constructions of homomorphisms from $SK_1$ and $SK_2$ of central simple algebras to subquotients of Galois cohomology groups.

### Mathematics Subject Classification

16K20, 19B99, 16E20, 12G05, 19C30

### Keywords/Phrases

Whitehead groups, Galois cohomology, motivic cohomology, central simple algebras