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Stable modules and the D(2)-problem

Author: F E A Johnson
Publisher: Cambridge, UK ; New York : Cambridge University Press, 2003.
Series: London Mathematical Society lecture note series, 301.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This 2003 book is concerned with two fundamental problems in low-dimensional topology. Firstly, the D(2)-problem, which asks whether cohomology detects dimension, and secondly the realization problem, which asks whether every algebraic 2-complex is geometrically realizable. The author shows that for a large class of fundamental groups these problems are equivalent. Moreover, in the case of finite groups, Professor  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Johnson, F.E.A. (Francis Edward Anthony), 1946-
Stable modules and the D(2)-problem.
Cambridge, UK ; New York : Cambridge University Press, 2003
(DLC) 2003046133
(OCoLC)51886466
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: F E A Johnson
ISBN: 9781107362284 1107362288
OCLC Number: 836869102
Description: 1 online resource (ix, 267 pages).
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. Poincare --
3 complexes.
Series Title: London Mathematical Society lecture note series, 301.
Responsibility: F.E.A. Johnson.
More information:

Abstract:

This 2003 book deals with two fundamental problems in low-dimensional topology with an eye on wider context.  Read more...

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

 
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