Cohomological Approaches to $S K_{1}$ and $S K_{2}$ 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 $S K_{1}$ and $S K_{2}$ of central simple algebras to subquotients of Galois cohomology groups.