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Diagram groups

About this Title

Victor Guba and Mark Sapir

Publication: Memoirs of the American Mathematical Society
Publication Year: 1997; Volume 130, Number 620
ISBNs: 978-0-8218-0639-5 (print); 978-1-4704-0209-9 (online)
DOI: https://doi.org/10.1090/memo/0620
MathSciNet review: 1396957
MSC: Primary 20F05; Secondary 57M07

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Table of Contents

Chapters

  • 1. Introduction
  • 2. Rewrite systems
  • 3. Semigroup diagrams
  • 4. Monoid pictures
  • 5. Diagram groups
  • 6. Squier’s complexes
  • 7. Monoid presentations and the diagram groups
  • 8. Diagram groups and group theoretic constructions
  • 9. Diagram groups over complete presentations
  • 10. Finitely presented diagram groups
  • 11. Commutator subgroups of diagram groups
  • 12. Asphericity
  • 13. Recursive presentations of diagram groups
  • 14. Computational complexity of the word problem in diagram groups
  • 15. Combinatorics on diagrams
  • 16. Different types of diagrams and finitely presented simple groups
  • 17. Open problems