Cohomological Approaches to $SK_1$  and $SK_2$ of Central Simple Algebras

Bruno Kahn
Institut de Mathématiques de Jussieu UPMC UFR 929 Mathématiques 4 place Jussieu 75005 Paris France

Abstract

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