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Computational and Geometric Aspects of Modern Algebra

Computational and Geometric Aspects of Modern Algebra

Part of London Mathematical Society Lecture Note Series

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
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  • Date Published: June 2000
  • availability: Available
  • format: Paperback
  • isbn: 9780521788892

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About the Authors
  • 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
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    Product details

    • Date Published: June 2000
    • format: Paperback
    • isbn: 9780521788892
    • length: 290 pages
    • dimensions: 229 x 152 x 17 mm
    • weight: 0.43kg
    • contains: 26 b/w illus.
    • availability: 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.

  • 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

    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

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