Combinatorial and Geometric Group Theory, Edinburgh 1993

ISBN-13: 9780521465953 / Angielski / Miękka / 1994 / 336 str.

A. Duncan; N. D. Gilbert; James Howie

Opis

The papers in this book represent the current state of knowledge in group theory. It includes articles of current interest written by such scholars as S.M. Gersten, R.I. Grigorchuk, P.H. Kropholler, A. Lubotsky, A.A. Razborov and E. Zelmanov. The contributed articles, all refereed, cover a wide range of topics in combinatorial and geometric group theory. The volume will be indispensable to all researchers in the area.

Spis treści

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.