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An Introduction to Galois Cohomology and its Applications

By: (Author) Gregory Berhuy

Manufacture on Demand

Ksh 12,950.00

Format: Paperback / Softback

ISBN-10: 0521738660

ISBN-13: 9780521738668

Series: London Mathematical Society Lecture Note Series

Publisher: Cambridge University Press

Imprint: Cambridge University Press

Country of Manufacture: GB

Country of Publication: GB

Publication Date: Sep 9th, 2010

Print length: 328 Pages

Weight: 468 grams

Dimensions (height x width x thickness): 22.80 x 15.30 x 1.80 cms

Product Classification: Algebraic topology

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This is the first detailed elementary introduction to Galois cohomology and its applications. The introductory section is self-contained and provides the basic results of the theory. Assuming only a minimal background in algebra, the main purpose of this book is to prepare graduate students and researchers for more advanced study.
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.

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