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Topology and Combinatorial Group Theory

Proceedings of the Fall Foliage Topology Seminars held in New Hampshire 1985-1988

  • Conference proceedings
  • © 1990

Overview

Editors:
  1. Paul Latiolais
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1440)

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Table of contents (19 papers)

  1. Front Matter

    Pages I-VI
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  2. On two relator groups

    • Iris Lee Anshel
    Pages 1-21

  3. When is the homotopy set [X, Y] infinite?

    • Martin Arkowitz
    Pages 22-26

  4. Local collapses for diagrammatic reducibility

    • William A. Bogley
    Pages 27-38

  5. Periodic knots and desuspensions of free involutions on spheres

    • Ricardo N. Cruz
    Pages 39-47

  6. The Tits conjecture and the five string braid group

    • Carl Droms, Jacques Lewin, Herman Servatius
    Pages 48-51

  7. The finite basis extension property and graph groups

    • Herman Servatius, Carl Droms, Brigitte Servatius
    Pages 52-58

  8. Subgroup presentations without coset representatives

    • Benjamin Fine
    Pages 59-73

  9. Fractal dimensions of limit sets of some Kleinian groups

    • Michael Frame, James Hefferon
    Pages 74-80

  10. Bounded cancellation of automorphisms of free products

    • Richard Goldstein
    Pages 81-89

  11. A short topological proof of Cohn's theorem

    • Cynthia Hog-Angeloni
    Pages 90-95

  12. On the homotopy type of 2-complexes with a free product of cyclic groups as fundamental group

    • Cynthia Hog-Angeloni
    Pages 96-108

  13. Bias ideals and obstructions to simple-homotopy equivalence

    • Cynthia Hog-Angeloni, M. Paul Latiolais, Wolfgang Metzler
    Pages 109-121

  14. Embeddings of acyclic 2-complexes in S 4 with contractible complement

    • Günther Huck
    Pages 122-129

  15. Fixed subsets of homomorphisms of free groups

    • W. Imrich, E. C. Turner
    Pages 130-147

  16. Note on a conjecture of Stephen Halperin's

    • Gregory Lupton
    Pages 148-163

  17. On the rank, the deficiency and the homological dimension of groups: The computation of a lower bound via fox ideals

    • Martin Lustig
    Pages 164-174

  18. A reduced spherical diagram into a ribbon-disk complement and related examples

    • Stephan Rosebrock
    Pages 175-185

  19. * - Groups, graphs, and bases

    • Christopher Schaufele, Nancy Zumoff
    Pages 186-191

  20. Some topological graph theory for topologists: A sampler of covering space constructions

    • Thomas W. Tucker
    Pages 192-207
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About this book

This book demonstrates the lively interaction between algebraic topology, very low dimensional topology and combinatorial group theory. Many of the ideas presented are still in their infancy, and it is hoped that the work here will spur others to new and exciting developments. Among the many techniques disussed are the use of obstruction groups to distinguish certain exact sequences and several graph theoretic techniques with applications to the theory of groups.

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