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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
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