Email this article An Approach to the Study of Finitely Presented Groups Based on the Notion of Discrete Curvature
- Authors: Lysenok I.G.1,2
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Stevens Institute of Technology
- Issue: Vol 103, No 3-4 (2018)
- Pages: 610-615
- Section: Article
- URL: https://journal-vniispk.ru/0001-4346/article/view/150749
- DOI: https://doi.org/10.1134/S0001434618030276
- ID: 150749
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Abstract
A sufficient condition for the hyperbolicity of a group presented in terms of generators and defining relations is considered. The condition is formulated in terms of the negativity of a discrete analog of curvature for the Lyndon–van Kampen diagrams over a presentation of a group and is a generalization of the small cancellation condition.
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About the authors
I. G. Lysenok
Steklov Mathematical Institute of Russian Academy of Sciences; Stevens Institute of Technology
Author for correspondence.
Email: igor.lysenok@gmail.com
Russian Federation, Moscow; Hoboken
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