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

Bruno Kahn

doi:10.4171/dms/5

BooksdmsCollected Volumepp. 317–369

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

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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.