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|a Gille, Philippe,
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|a Central simple algebras and Galois cohomology /
|c Philippe Gille, Tamás Szamuely.
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|a Cambridge, UK :
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|a Cambridge studies in advanced mathematics ;
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|a Includes bibliographical references (pages 323-338) and index.
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520 |
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|a The first comprehensive, modern introduction to the theory of central simple algebras over arbitrary fields. Assuming only a solid background in algebra, it reaches such advanced results as the Merkurjev-Suslin theorem. The book is a graduate textbook and a reference for researchers working in algebra, algebraic geometry or K-theory.
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|a Cover; Half-title; Series-title; Title; Copyright; Contents; Preface; Acknowledgments; 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; Bibliography; Index.
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|a Galois cohomology.
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|a Szamuely, Tamás.
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|i Print version:
|a Gille, Philippe, 1968-
|t Central simple algebras and Galois cohomology.
|d Cambridge, UK : Cambridge University Press, 2006
|z 0521861039
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