Homological Group Theory

Eminent mathematicians have presented papers on homological and combinatorial techniques in group theory. The lectures are aimed at presenting in a unified way new developments in the area.

C. T. C. Wall (Author)

9780521227292, Cambridge University Press

Paperback, published 27 December 1979

408 pages
22.9 x 15.2 x 2.3 cm, 0.6 kg

In 1977 several eminent mathematicians were invited to Durham to present papers at a short conference on homological and combinatorial techniques in group theory. The lectures, published here, aimed at presenting in a unified way new developments in the area. Group theory is approached from a geometrical viewpoint and much of the material has not previously been published. The various ways in which topological ideas can be used in group theory are also brought together. The volume concludes with an extensive set of problems, ranging from explicit questions demanding detailed calculation to fundamental questions motivating research in the area. These lectures will be of interest mainly to researchers in pure mathematics but will also prove useful in connection with relevant postgraduate courses.

Preface
Introduction
1. Traces and Euler characteristics Hyman Bass
2. Groups of virtually finite dimension Kenneth S. Brown
3. Free abelianised extensions of finite groups K. W. Gruenberg
4. Arithmetic groups J.-P. Serre
5. Topological methods in group theory Peter Scott and Terry Wall
6. An example of a finite presented solvable group Herbert Abels
7. SL3 (Fq[t]) is not finitely presentable Helmut Behr
8. Two-dimensional Poincaré duality groups and pairs Robert Bieri and Beno Eckmann
9. Metabelian quotients of finitely presented soluble groups are finitely presented Robert Bieri and Ralph Strebel
10. Soluble groups with coherent group rings Robert Bieri and Ralph Strebel
11. Cohomological aspects of 2-graphs, II Peter J. Cameron
12. Recognizing free factors M. J. Dunwoody
13. Trees of homotopy of (n, m)-complexes Michael Dyer
14. Geometric structure of surface mapping class groups W. J. Harvey
15. Cohomology theory of aspherical groups and of small cancellation groups Johannes Huebschmann
16. Finite groups of deficiency zero D. L. Johnson and E. F. Robertson
17. Äquivalenzklassen von Gruppenbeschreibungen, Identitäten und einfacher Homotopietyp in niederen Dimensionen Wolfgang Metzler
19. Applications of Nielsen's reduction method to the solution of combinatorial problems in group theory: a survey Gerhard Rosenberger
20. Chevalley groups over polynomial rings Christophe Soulé
List of problems edited by Terry Wall.

Subject Areas: Algebra [PBF]