Diagram groups / Victor Guba, Mark Sapir.

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Bibliographic Details
Main Author:	Guba, Victor, 1962-
Other Authors:	Sapir, Mark, 1957-
Format:	eBook
Language:	English
Published:	Providence, R.I. : American Mathematical Society, ©1997.
Series:	Memoirs of the American Mathematical Society ; no. 620.
Subjects:	Geometric group theory. Homology theory. MATHEMATICS > Essays. MATHEMATICS > Pre-Calculus. MATHEMATICS > Reference. Geometric group theory Homology theory
Online Access:	Click for online access

Table of Contents:

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.

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