Geometry and Cohomology in Group Theory

ISBN-13: 9780521635561 / Angielski / Miękka / 1998 / 332 str.

Opis

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 that will be valuable reference works for some years to come. Pure mathematicians working in the field of algebra, topology, and their interactions, will find this book of great interest.

Spis treści

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.