AN INTRODUCTION TO GALOIS COHOMOLOGY AND ITS APPLICATIONS by Gregory Berhuy ( 9780521738668 )

Item Details

Title:

AN INTRODUCTION TO GALOIS COHOMOLOGY AND ITS APPLICATIONS

By:

Gregory Berhuy

Format:

Paperback

List price:

£72.00

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£63.00

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12.5% off

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£9.00

ISBN 10:

0521738660

ISBN 13:

9780521738668

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Publisher:

CAMBRIDGE UNIVERSITY PRESS

Pub. date:

9 September, 2010

Series:

London Mathematical Society Lecture Note Series 377

Pages:

328

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:

Imprint:

Cambridge University Press

Returns:

Returnable

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AN INTRODUCTION TO CENTRAL SIMPLE ALGEBRAS AND THEIR APPLICATIONS TO WIRELESS COMMUNICATION

AN INTRODUCTION TO GALOIS COHOMOLOGY AND ITS APPLICATIONS