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Author Gille, Philippe, 1968-

Title Central simple algebras and Galois cohomology / Philippe Gille, Tamás Szamuely
Published Cambridge, UK : Cambridge University Press, 2006
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Description 1 online resource (ix, 343 pages) : illustrations
Series Cambridge studies in advanced mathematics ; 101
Cambridge studies in advanced mathematics ; 101
Contents 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
Summary 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
Bibliography Includes bibliographical references (pages 323-338) and index
Notes Print version record
Subject Algebra.
Galois cohomology.
Form Electronic book
Author Szamuely, Tamás.
ISBN 0511224494 (ebook ; ebrary)
0511225164
0511226357 (electronic bk.)
0511607210 (electronic book)
0521861039 (hbk.)
9780511224492 (ebook ; ebrary)
9780511225161
9780511226359 (electronic bk.)
9780511607219 (electronic book)
9780521861038 (hbk.)