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An introduction to Galois cohomology and its applications /
An introduction to Galois cohomology and its applications

Author: by Gr�egory Berhuy. ; Grégory Berhuy
Publisher: Cambridge, UK ; New York : Cambridge University Press, 2010.
Series: London Mathematical Society lecture note series, 377.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
This is a detailed introduction to Galois cohomology and its applications. 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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Document Type: Book
All Authors / Contributors: by Gr�egory Berhuy. ; Grégory Berhuy
ISBN: 9780521738668 0521738660
OCLC Number: 636911216
Description: xi, 315 pages ; 23 cm.
Contents: Foreword Jean-Pierre Tignol; Introduction; Part I. An Introduction to Galois Cohomology: 1. Infinite Galois theory; 2. Cohomology of profinite groups; 3. Galois cohomology; 4. Galois cohomology of quadratic forms; 5. Etale and Galois algebras; 6. Groups extensions and Galois embedding problems; Part II. Applications: 7. Galois embedding problems and the trace form; 8. Galois cohomology of central simple algebras; 9. Digression: a geometric interpretation of H1 (-, G); 10. Galois cohomology and Noether's problem; 11. The rationality problem for adjoint algebraic groups; 12. Essential dimension of functors; References; Index.
Series Title: London Mathematical Society lecture note series, 377.
Other Titles: Galois cohomology and its applications
Responsibility: by Grégory Berhuy.

Abstract:

The first detailed elementary introduction to (non-abelian) Galois cohomology.  Read more...

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'... beautifully covers several active areas in contemporary Galois theory which are presently not treated in other standard textbooks on Galois cohomology. The exposition is detailed and leisurely, Read more...

 
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