Geometry and Cohomology in Group Theory de Peter H. Kropholler

Geometry and Cohomology in Group Theory: London Mathematical Society Lecture Note Series, cartea 252

Peter H. Kropholler

Graham A. Niblo

Ralph Stöhr

en Limba Engleză Paperback – 13 mai 1998

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.

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Cuprins

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.