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Combinatorial and Geometric Group Theory, Edinburgh 1993

Combinatorial and Geometric Group Theory, Edinburgh 1993

£58.99

Part of London Mathematical Society Lecture Note Series

M. R. Bridson, R. H. Gilman, C. J. B. Brookes, C. M. Campbell, E. F. Robertson, N. Ruskuc, R. M. Thomas, I. M. Chiswell, D. E. Cohen, D. J. Collins, B. Fine, F. Roehl, G. Rosenberger, S. M. Gersten, C. M. Gordon, R. I. Grigorchuk, J. Harlander, G. Huck, S. Rosebrock, O. G. Kharlampovich, M. V. Sapir, P. H. Kropholler, A. Lubotzky, C. Maclachlan, T. Maeda, H. Meinert, A. Yu Ol'shanskii, C. Pittet, A. A. Razborov, A. Rosenmann, M. Stoll, E. C. Turner, E. Zelmanov
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  • Date Published: November 1994
  • availability: Available
  • format: Paperback
  • isbn: 9780521465953

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About the Authors
  • 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.

    • Topical area
    • Has some extremely important contributions from Russians
    • Leading lights
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    Product details

    • Date Published: November 1994
    • format: Paperback
    • isbn: 9780521465953
    • length: 336 pages
    • dimensions: 227 x 152 x 20 mm
    • weight: 0.486kg
    • contains: 64 b/w illus.
    • availability: Available
  • Table of Contents

    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.

  • Editors

    Andrew J. Duncan, University of Newcastle upon Tyne

    N. D. Gilbert, University of Durham

    James Howie, Heriot-Watt University, Edinburgh

    Contributors

    M. R. Bridson, R. H. Gilman, C. J. B. Brookes, C. M. Campbell, E. F. Robertson, N. Ruskuc, R. M. Thomas, I. M. Chiswell, D. E. Cohen, D. J. Collins, B. Fine, F. Roehl, G. Rosenberger, S. M. Gersten, C. M. Gordon, R. I. Grigorchuk, J. Harlander, G. Huck, S. Rosebrock, O. G. Kharlampovich, M. V. Sapir, P. H. Kropholler, A. Lubotzky, C. Maclachlan, T. Maeda, H. Meinert, A. Yu Ol'shanskii, C. Pittet, A. A. Razborov, A. Rosenmann, M. Stoll, E. C. Turner, E. Zelmanov

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