Combinatorial and Geometric Group Theory, Edinburgh 1993 de Andrew J. Duncan

Combinatorial and Geometric Group Theory, Edinburgh 1993: London Mathematical Society Lecture Note Series, cartea 204

Andrew J. Duncan

N. D. Gilbert

James Howie

The ICMS Workshop on Geometric and Combinatorial Methods in Group Theory, held at Heriot-Watt University in 1993, brought together some of the leading research workers in the subject. Some of the survey articles and contributed papers presented at the meeting are collected in this volume. The former cover a number of areas of current interest and include papers by: S. M. Gersten, R. I. Grigorchuk, P. H. Kropholler, A. Lubotzky, A. A. Razborov and E. Zelmanov. The contributed articles, all refereed, range over a wide number of topics in combinatorial and geometric group theory and related topics. The volume represents a summary of the state of knowledge of the field, and as such will be indispensable to all research workers in the area.

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Cuprins

On bounded languages and the geometry of nilpotent groups M. R. Bridson and R. H. Gilman; Finitely presented groups and the finite generation of exterior powers C. J. B. Brookes; Semigroup presentations and minimal ideals C. M. Campbell, E. F. Robertson, N. Ruskuc and R. M. Thomas; Generalized trees and Lambda-trees I. M. Chiswell; The mathematician who had little wisdom: a story and some mathematics D. E. Cohen; Palindromic automorphisms of free groups D. J. Collins; A freiheitssatz for certain one-relator amalgamated products B. Fine, F. Roehl and G. Rosenberger; Isoperimetric functions of groups and exotic cohomology S. M. Gersten; Some embedding theorems and undecidability questions for groups C. M. Gordon; Some results on bounded cohomology R. I. Grigorchuk; On perfect subgroups of one-relator groups J. Harlander; Weight tests and hyperbolic groups G. Huck and S. Rosebrock; A non-residually finite, relatively finitely presented group in the variety N2A O. G. Kharlampovich and M. V. Sapir; Hierarchical decompositions, generalized Tate cohomology and groups of type FP∞ P. H. Kropholler; Tree-lattices and lattices in Lie groups A. Lubotzky; Generalizations of Fibonacci numbers, groups and manifolds C. Maclachlan; Knotted surfaces in the 4-sphere with no minimal Seifert manifolds T. Maeda; The higher geometric invariants of modules over Noetherian group rings H. Meinert; On calculation of width in free groups A. Yu Ol'shanskii; Hilbert modular groups and isoperimetric inequalities C. Pittet; On systems of equations in free groups A. A. Razborov; Cogrowth and essentiality in groups and algebras A. Rosenmann; Regular geodesic languages for 2-step nilpotent groups M. Stoll; Finding indivisible Nielsen paths for a train track map E. C. Turner; More on Burnside's problem E. Zelmanov; Problem session.