{"product_id":"9781316609880-central-simple-algebras-and-galois-cohomology","title":"Central Simple Algebras and Galois Cohomology","description":"\u003cp\u003eThe first comprehensive, modern introduction to the theory of central simple algebras over arbitrary fields, this book starts from the basics and reaches such advanced results as the Merkurjev-Suslin theorem, a culmination of work initiated by Brauer, Noether, Hasse and Albert, and the starting point of current research in motivic cohomology theory by Voevodsky, Suslin, Rost and others. Assuming only a solid background in algebra, the text covers the basic theory of central simple algebras, methods of Galois descent and Galois cohomology, Severi-Brauer varieties, and techniques in Milnor K-theory and K-cohomology, leading to a full proof of the Merkurjev-Suslin theorem and its application to the characterization of reduced norms. The final chapter rounds off the theory by presenting the results in positive characteristic, including the theorems of Bloch-Gabber-Kato and Izhboldin. This second edition has been carefully revised and updated, and contains important additional topics.\u003c\/p\u003e","brand":"Book Grocer","offers":[{"title":"Default Title","offer_id":48295087997147,"sku":"9781316609880","price":40.0,"currency_code":"AUD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0523\/7646\/9701\/files\/fe49202f-10c2-4279-93b7-74ec29cd5b5a_434826cf-6447-405b-997f-0835b5c302fe.jpg?v=1771856538","url":"https:\/\/bookgrocer.com\/products\/9781316609880-central-simple-algebras-and-galois-cohomology","provider":"Book Grocer","version":"1.0","type":"link"}