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Computational and Geometric Aspects of Modern Algebra

Computational and Geometric Aspects of Modern Algebra

Computational and Geometric Aspects of Modern Algebra

Michael Atkinson, University of St Andrews, Scotland
Nick Gilbert, Heriot-Watt University, Edinburgh
James Howie, Heriot-Watt University, Edinburgh
Steve Linton, University of St Andrews, Scotland
Edmund Robertson, University of St Andrews, Scotland
June 2000
Available
Paperback
9780521788892
£67.00
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    This book comprises a collection of papers from participants at the IMCS Workshop on Computational and Geometric Aspects of Modern Algebra, held at Heriot-Watt University in 1998. Written by leading researchers, the papers cover a wide range of topics in the vibrant areas of word problems in algebra and geometric group theory. This book represents a timely record of recent work and provides an indication of the key areas of future development.

    • Papers by leading researchers in the field
    • Surveys of key areas of the subject
    • Original research of the highest quality

    Product details

    June 2000
    Paperback
    9780521788892
    290 pages
    229 × 152 × 17 mm
    0.43kg
    26 b/w illus.
    Available

    Table of Contents

    • Forword
    • Participants
    • 1. Lie methods in growth of groups and groups of finite width Laurent Bartholdi and Rostislav I. Grigorchuk
    • 2. Translation numbers of groups acting on quasiconvex spaces Gregory R. Conner
    • 3. On a term rewriting system controlled by sequences of integers Ales Drápal
    • 4. On certain finite generalized tetrahedron groups M. Edjvet, G. Rosenberger, M. Stille and R. M. Thomas
    • 5. Efficient computation in word-hyperbolic groups David B. A. Epstein and Derek F. Holt
    • 6. Constructing hyperbolic manifolds B. Everitt and C. Maclachlan
    • 7. Computing in groups with exponent six George Havas, M. F. Newman, Alice C. Niemeyer and Charles C. Sims
    • 8. Rewriting as a special case of non-commutative Gröbner basis theory Anne Heyworth
    • 9. Detecting 3-manifold presentations Cynthia Hog-Angeloni
    • 10. In search of a word with special combinatorial properties Stepán Holub
    • 11. Cancellation diagrams with non-positive curvature Günther Huck and Stephan Rosebrock
    • 12. Some applications of prefix-rewriting in monoids, groups and rings Klaus Madlener and Friedrich Otto
    • 13. Verallgemeinerte biasinvarianten und ihre berechnung Wolfgang Metzler
    • 14. On groups which act freely and properly on finite dimensional homotopy spheres Guido Mislin and Olympia Talelli
    • 15. On confinal dynamics of rooted tree automorphisms V. V. Nekrashevych and V. I. Suchansky
    • 16. An asymptotic invariant of surface groups Amnon Rosenmann
    • 17. A cutpoint tree for a continuum Eric L. Swenson
    • 18. Generalised triangle groups of type (2, m, 2) Alun G. T. Williams.
      Contributors
    • Laurent Bartholdi, Rostislav I. Grigorchuk, Gregory R. Conner, Ales Drápal, M. Edjvet, G. Rosenberger, M. Stille, R. M. Thomas, David B. A. Epstein, Derek F. Holt, B. Everitt, C. Maclachlan, George Havas, M. F. Newman, Alice C. Niemeyer, Charles C. Sims, Anne Heyworth, Cynthia Hog-Angeloni, Stepán Holub, Günther Huck, Stephan Rosebrock, Klaus Madlener, Friedrich Otto, Wolfgang Metzler, Guido Mislin, Olympia Talelli, V. V. Nekrashevych, V. I. Suchansky, Amnon Rosenmann, Eric L. Swenson, Alun G. T. Williams

    • Editors
    • Michael Atkinson , University of St Andrews, Scotland
    • Nick Gilbert , Heriot-Watt University, Edinburgh
    • James Howie , Heriot-Watt University, Edinburgh
    • Steve Linton , University of St Andrews, Scotland
    • Edmund Robertson , University of St Andrews, Scotland