On Groups of PL-homeomorphisms of the Real Line - Bookswagon
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Home > Mathematics and Science Textbooks > Mathematics > Groups and group theory > On Groups of PL-homeomorphisms of the Real Line: (Mathematical Surveys and Monographs)
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On Groups of PL-homeomorphisms of the Real Line: (Mathematical Surveys and Monographs)

On Groups of PL-homeomorphisms of the Real Line: (Mathematical Surveys and Monographs)


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About the Book

Richard Thompson's famous group $F$ has the striking property that it can be realized as a dense subgroup of the group of all orientation-preserving homeomorphisms of the unit interval, but it can also be given by a simple 2-generator-2-relator presentation, in fact as the fundamental group of an aspherical complex with only two cells in each dimension.

This monograph studies a natural generalization of $F$ that also includes Melanie Stein's generalized $F$-groups. The main aims of this monograph are the determination of isomorphisms among the generalized $F$-groups and the study of their automorphism groups. This book is aimed at graduate students (or teachers of graduate students) interested in a class of examples of torsion-free infinite groups with elements and composition that are easy to describe and work with, but have unusual properties and surprisingly small presentations in terms of generators and defining relations.

Table of Contents:

  • Introduction
  • Construction of finitary PL-homeomorphisms
  • Generating sets
  • The subgroup of bounded homeomorphisms $B$
  • Presentations
  • Isomorphisms and automorphism groups
  • Notes
  • Bibliography
  • Index of notation
  • Subject index.


About the Author :
Robert Bieri, Johann Wolfgang Goethe-Universitat Frankfurt, Frankurt am Main, Germany.

Ralph Strebel, Universite de Fribourg, Switzerland.


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Product Details
  • ISBN-13: 9781470429010
  • Publisher: American Mathematical Society
  • Publisher Imprint: American Mathematical Society
  • Height: 254 mm
  • No of Pages: 174
  • Weight: 495 gr
  • ISBN-10: 1470429012
  • Publisher Date: 30 Nov 2016
  • Binding: Hardback
  • Language: English
  • Series Title: Mathematical Surveys and Monographs
  • Width: 178 mm


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On Groups of PL-homeomorphisms of the Real Line: (Mathematical Surveys and Monographs)
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