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1. Quaternion algebras;
2. Central simple algebras and Galois descent;
3. Techniques from group cohomology;
4. The cohomological Brauer group;
5. Severi-Brauer varieties;
6. Residue maps;
7. Milnor K-theory;
8. The Merkurjev-Suslin theorem;
9. Symbols in positive characteristic; Appendix: A breviary of algebraic geometry; References; Index.
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