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Book Cover
E-book
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 English
Print version record
Subject Galois cohomology.
Algebra.
algebra.
MATHEMATICS -- Topology.
Algebra
Galois cohomology
Galois-Kohomologie
Zentral einfache Algebra
Form Electronic book
Author Szamuely, Tamás.
ISBN 9780511226359
0511226357
0511225164
9780511225161
9780511224492
0511224494
9780521861038
0521861039
9780511607219
0511607210
1107167914
9781107167919
1280550546
9781280550546
9786610550548
6610550549
0511225784
9780511225789
0511318030
9780511318030