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  • Conference proceedings
  • © 1990

Topology and Combinatorial Group Theory

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

Editors:

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
  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. The Tits conjecture and the five string braid group

    • Carl Droms, Jacques Lewin, Herman Servatius
    Pages 48-51
  6. The finite basis extension property and graph groups

    • Herman Servatius, Carl Droms, Brigitte Servatius
    Pages 52-58
  7. Fractal dimensions of limit sets of some Kleinian groups

    • Michael Frame, James Hefferon
    Pages 74-80
  8. A short topological proof of Cohn's theorem

    • Cynthia Hog-Angeloni
    Pages 90-95
  9. Bias ideals and obstructions to simple-homotopy equivalence

    • Cynthia Hog-Angeloni, M. Paul Latiolais, Wolfgang Metzler
    Pages 109-121
  10. Fixed subsets of homomorphisms of free groups

    • W. Imrich, E. C. Turner
    Pages 130-147
  11. Note on a conjecture of Stephen Halperin's

    • Gregory Lupton
    Pages 148-163
  12. * - Groups, graphs, and bases

    • Christopher Schaufele, Nancy Zumoff
    Pages 186-191

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.

Keywords

  • Algebraic topology
  • Fundamental group
  • Homotopy
  • Topology, combinatorial
  • algebra
  • group theory
  • linear optimization

Bibliographic Information

Buying options

eBook USD 34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 46.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions