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Thompson’s Group F

  • Marianna C. Bonanome
  • Margaret H. Dean
  • Judith Putnam Dean
Chapter
Part of the Compact Textbooks in Mathematics book series (CTM)

Abstract

R. Thompson’s group F is introduced and explored. Its elements are described as equivalence classes of tree diagrams and also as continuous piecewise linear functions from the unit interval to itself, and the two descriptions are linked. We give a finite presentation of F along with a presentation on infinitely many generators, which leads to a normal form.

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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Marianna C. Bonanome
    • 1
  • Margaret H. Dean
    • 2
  • Judith Putnam Dean
    • 3
  1. 1.Department of Math and Computer ScienceNew York City College of Technology, The City University of New YorkBrooklynUSA
  2. 2.Department of MathematicsBorough of Manhattan Community College, The City University of New YorkNew YorkUSA
  3. 3.Department of MathematicsMonroe Community CollegeRochesterUSA

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