## Table of contents for Skew fields / P.K. Draxl.

Bibliographic record and links to related information available from the Library of Congress catalog

Information from electronic data provided by the publisher. May be incomplete or contain other coding.

Part I. Skew Fields and Simple Rings: 1. Some ad hoc Results on Skew Fields; 2. Rings of Matrices over Skew Fields; 3. Simple Rings and Wedderburn's Main Theorem; 4. A Short Cut to Tensor Products; 5. Tensor Products and Algebras; 6. Tensor Products and Galois Theory; 7. Skolem-Noether Theorem and Centralizer Theorem; 8. The Corestriction of Algebras; Part II. Skew Fields and Brauer Groups; 9. Brauer Groups over Fields; 10. Cyclic Algebras; 11. Power Norm Residue Algebras; 12. Brauer Groups and Galois Cohomology; 13. The Formalism of Crossed Products; 14. Quaternion Algebras; 15. p-Algebras; 16. Skew Fields with Involution; 17. Brauer Groups and K2-Theory of Fields; 18. A Survey of some further Results; Part III. Reduced K1-Theory of Skew Fields; 19. The Bruhat Normal Form; 20. The Dieudonne Determinant; 21. The Structure of SL (D) for n > 2

Library of Congress subject headings for this publication:

Skew fields.

Brauer groups.

K-theory.