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Generic Splitting Fields of Central Simple Algebras: Galois Cohomology and Nonexcellence

โœ Scribed by Oleg T. Izhboldin; Nikita A. Karpenko

Book ID
110282844
Publisher
Springer Netherlands
Year
1999
Tongue
English
Weight
295 KB
Volume
2
Category
Article
ISSN
1386-923X

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๐Ÿ“œ SIMILAR VOLUMES

Central Simple Algebras and Galois Cohom
Central Simple Algebras and Galois Cohomology
โœ Gille P., Szamuely T. ๐Ÿ“‚ Library ๐Ÿ“… 2006 ๐ŸŒ English โš– 2 MB

This book is the first comprehensive, modern introduction to the theory of central simple algebras over arbitrary fields. Starting from the basics, it reaches such advanced results as the Merkurjev-Suslin theorem. This theorem is both the culmination of work initiated by Brauer, Noether, Hasse and A

On absolute Galois splitting fields of c
On absolute Galois splitting fields of central simple algebras
โœ Timo Hanke ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 162 KB

A splitting field of a central simple algebra is said to be absolute Galois if it is Galois over some fixed subfield of the centre of the algebra. The paper proves an existence theorem for such fields over global fields with enough roots of unity. As an application, all twisted function fields and a