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Pregroups and Bass-Serre theory

About this Title

Frank Rimlinger

Publication: Memoirs of the American Mathematical Society
Publication Year: 1987; Volume 65, Number 361
ISBNs: 978-0-8218-2421-4 (print); 978-1-4704-0777-3 (online)
DOI: https://doi.org/10.1090/memo/0361
MathSciNet review: 874086
MSC: Primary 20E06; Secondary 20E05, 20E34, 20F29

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Table of Contents

Chapters

  • Part I. Stallings’s theorem about pregroups; introduction to pregroups of finite height
  • 1. The definition of a pregroup
  • 2. The pregroups of finite height
  • 3. The subgroup of units
  • Part II. A presentation for the universal group of a pregroup of finite height
  • 4. Pregroup actions and generating sets
  • 5. A presentation for the universal group of a pregroup of finite height
  • Part III. The relationship between pregroups and graphs of groups
  • 6. A graph of groups structure for pregroups of finite height
  • 7. A pregroup structure for graphs of groups of finite diameter