Stable Modules and the D(2)-Problem

Stable Modules and the D(2)-Problem

by F. E. A. Johnson
ISBN-10:
0521537495
ISBN-13:
9780521537490
Pub. Date:
09/11/2003
Publisher:
Cambridge University Press
ISBN-10:
0521537495
ISBN-13:
9780521537490
Pub. Date:
09/11/2003
Publisher:
Cambridge University Press
Stable Modules and the D(2)-Problem

Stable Modules and the D(2)-Problem

by F. E. A. Johnson

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Overview

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.

Product Details

ISBN-13: 9780521537490
Publisher: Cambridge University Press
Publication date: 09/11/2003
Series: London Mathematical Society Lecture Note Series , #301
Pages: 280
Product dimensions: 5.98(w) x 9.02(h) x 0.63(d)

Table of Contents

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.
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