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The structure of certain quasisymmetric groups


About this Title

A. Hinkkanen

Publication: Memoirs of the American Mathematical Society
Publication Year 1990: Volume 83, Number 422
ISBNs: 978-0-8218-2485-6 (print); 978-1-4704-0845-9 (online)
DOI: http://dx.doi.org/10.1090/memo/0422
MathSciNet review: 948926
MSC (1991): Primary 30C60; Secondary 20F38, 30F35

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Table of Contents


Chapters

  • 1. Introduction and results
  • 2. Notation and two lemmas
  • 3. Groups on the real axis: Proof of Theorem 1
  • 4. Proof of Theorem 2 for groups of finite order
  • 5. Estimates for cross ratios: Proof of Lemma 4
  • 6. Distances between successive image points: Proof of Lemma 5
  • 7. Proof of Theorem 2 for groups of infinite order
  • 8. Abelian groups: Proof of Theorem 3
  • 9. Nondiscrete groups: Proof of Theorem 4
  • 10. Groups containing large Möbius subgroups: Proof of Lemma 10
  • 11. Uncountable groups: Proof of Corollary 2