Geometry and Cohomology in Group Theory

This volume covers cohomology, representation theory, geometric and combinatorial group theory.

Peter H. Kropholler (Edited by), Graham A. Niblo (Edited by), Ralph Stöhr (Edited by)

9780521635561, Cambridge University Press

Paperback, published 14 May 1998

332 pages
23.1 x 15.4 x 1.8 cm, 0.445 kg

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.

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.

Subject Areas: Groups & group theory [PBG]