Grégory Berhuy

An Introduction to Galois Cohomology and its Applications

• Broschiertes Buch

Produktbeschreibung

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

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 328
• Erscheinungstermin: 9. September 2010
• Englisch
• Abmessung: 229mm x 152mm x 18mm
• Gewicht: 477g
• ISBN-13: 9780521738668
• ISBN-10: 0521738660
• Artikelnr.: 31194224

Autorenporträt

Grégory Berhuy is a Professor at the Université Joseph Fourier, Grenoble, France.

Inhaltsangabe

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.