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.
General
Imprint: |
Cambridge UniversityPress
|
Country of origin: |
United Kingdom |
Series: |
London Mathematical Society Lecture Note Series |
Release date: |
September 2010 |
First published: |
September 2010 |
Authors: |
Gregory Berhuy
|
Dimensions: |
228 x 152 x 17mm (L x W x T) |
Format: |
Paperback - Trade
|
Pages: |
328 |
ISBN-13: |
978-0-521-73866-8 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Topology >
Algebraic topology
Promotions
|
LSN: |
0-521-73866-0 |
Barcode: |
9780521738668 |
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