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

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

2010 Mathematics Subject Classification: 16Kxx, 19Bxx, 20G15.

Keywords and Phrases: Whitehead group, Galois cohomology, motivic cohomology.

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