Stable Modules and the D(2)-Problem

Klappentext Concerned with two fundamental problems in low-dimensional topology! the D(2)-problem and the realization problem! F.E.A. Johnson develops general methods and provides complete solutions in some instances. His book is suitable for graduate students wanting to learn low-dimensional homotopy theory as well as established researchers in the field. Zusammenfassung This 2003 book is concerned with two fundamental problems in low-dimensional topology. Professor Johnson develops general methods and gives complete solutions in a number of cases. It is ideal for graduate students wanting to learn low-dimensional homotopy theory as well as established researchers in the field. Inhaltsverzeichnis 1. Orders in semisimple algebras; 2. Representation of finite groups; 3. Stable modules and cancellation theorems; 4. Relative homological algebra; 5. The derived category of a finite group; 6. k-invariants; 7. Groups of periodic cohomology; 8. Algebraic homotopy theory; 9. Stability theorems; 10. The D(2)-problem; 11. Poincaré 3-complexes.

Dettagli sul prodotto

• Autori: F. E. a. Johnson, F.E.A. Johnson
• Con la collaborazione di: J. W. S. Cassels (Editore), N. J. Hitchin (Editore)
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 11.09.2003
• EAN: 9780521537490
• ISBN: 978-0-521-53749-0
• Pagine: 280
• Serie: London Mathematical Society Le
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Geometria