Homological Group Theory

Klappentext 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. Zusammenfassung 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. Inhaltsverzeichnis 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....

Zusammenfassung
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.

Inhalt

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.