Introduction to Galois Cohomology and Its Applications

Informationen zum Autor Grégory Berhuy is a Professor at the Université Joseph Fourier, Grenoble, France. Klappentext The first detailed elementary introduction to (non-abelian) Galois cohomology. Zusammenfassung 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. Inhaltsverzeichnis 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.

Dettagli sul prodotto

• Autori: Gr¿ry Berhuy, Gregory Berhuy, Grégory Berhuy, Gregory (Universite Joseph Fourier Berhuy
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 09.09.2010
• EAN: 9780521738668
• ISBN: 978-0-521-73866-8
• Pagine: 328
• Serie: London Mathematical Society Lecture Note Series; London Mathematical Society Le; London Mathematical Society Lecture Note Series; London Mathematical Society Le
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Aritmetica, algebra