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Central simple algebras and Galois cohomology /

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 algeb...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Gille, Philippe, 1968-
Otros Autores: Szamuely, Tamás
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge, UK : Cambridge University Press, 2006.
Colección:Cambridge studies in advanced mathematics ; 101.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.