Stable Modules and the D(2)-Problem

ISBN-13: 9780521537490 / Angielski / Miękka / 2003 / 280 str.

F. E. a. Johnson; J. W. S. Cassels; N. J. Hitchin

Opis

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.

Recenzje

"This book is well-written, nicely organized, and is a pleasure to read." Mathematical Reviews, American Mathematical Society

Spis treści

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.