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Item Details
Title: AN INTRODUCTION TO GALOIS COHOMOLOGY AND ITS APPLICATIONS
By: Gregory Berhuy
Format: Electronic book text

List price: £102.00


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ISBN 10: 1139107054
ISBN 13: 9781139107051
Publisher: CAMBRIDGE UNIVERSITY PRESS
Pub. date: 7 September, 2011
Series: London Mathematical Society Lecture Note Series 377
Description: The first detailed elementary introduction to (non-abelian) Galois cohomology.
Synopsis: This is the first elementary introduction to Galois cohomology and its applications. The first part is self-contained and provides the basic results of the theory, including a detailed construction of the Galois cohomology functor, as well as an exposition of the general theory of Galois descent. The author illustrates the theory using the example of the descent problem of conjugacy classes of matrices. The second part of the book gives an insight into how Galois cohomology may be used to solve algebraic problems in several active research topics, such as inverse Galois theory, rationality questions or the essential dimension of algebraic groups. Assuming only a minimal background in algebra, the main purpose of this book is to prepare graduate students and researchers for more advanced study.
Illustrations: 65 exercises
Publication: UK
Imprint: Cambridge University Press (Virtual Publishing)
Returns: Non-returnable
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