Geometry and Cohomology in Group Theory
Geometry and Cohomology in Group Theory
Peter H. Kropholler, Queen Mary University of London
Graham A. Niblo, University of Southampton
Ralph Stöhr, University of Manchester Institute of Science and Technology
Graham A. Niblo, University of Southampton
Ralph Stöhr, University of Manchester Institute of Science and Technology
July 1998
Paperback
9780521635561
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This volume reflects the fruitful connections between group theory and topology. It contains articles on cohomology, representation theory, geometric and combinatorial group theory. Some of the world's best known figures in this very active area of mathematics have made contributions, including substantial articles from Ol'shanskii, Mikhajlovskii, Carlson, Benson, Linnell, Wilson and Grigorchuk, which will be valuable reference works for some years to come. Pure mathematicians working in the fields of algebra, topology, and their interactions, will find this book of great interest.
- Has some of the best names in group theory
- Contains surveys; very useful to students
- Highly active area of mathematics
Product details
July 1998Paperback
9780521635561
332 pages
231 × 154 × 18 mm
0.445kg
Available
Table of Contents
- 1. On the cohomology of SL2(Z[1/p]) A. Adem and N. Naffah
- 2. Cohomology of sporadic groups, finite loop spaces and the Dickson Invariants D. J. Benson
- 3. Kernels of actions on non-positively curved spaces R. Bieri and R. Geoghegan
- 4. Cyclic groups acting on free Lie algebras R. M. Bryant
- 5. Cohomology, representations and quotient categories of modules J. F. Carlson
- 6. Protrees and L-trees I. M. Chiswell
- 7. Homological techniques for strongly graded rings: a survey J. Cornick
- 8. Buildings are CAT(0) M. W. Davis
- 9. On subgroups of Coxeter groups W. Dicks and I. J. Leary
- 10. The p-primary Farrell cohomology of Out(Fp-1) H. H. Glover, G. Mislin and S. N. Voon
- 11. On Tychonoff groups R. I. Grigorchuk
- 12. Word growth of Coxeter groups D. L. Johnson
- 13. Poly-surface groups F. E. A. Johnson
- 14. Analytic versions of the zero divisor conjecture P. A. Linnell
- 15. On the geometric invariants of soluble groups of finite Prüfer rank H. Meinert
- 16. Some constructions relating to hyperbolic groups K. V. Mikhajlovskii and A. Yu. Ol'shanskii
- 17. Free actions of Abelian groups on groups P. M. Neumann and P. J. Rowley
- 18. Finitely presented soluble groups J. S. Wilson.
