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Matematicheskie Zametki, 2018, Volume 103, Issue 4, Pages 568–575
DOI: https://doi.org/10.4213/mzm10985 (Mi mzm10985) 		 
This article is cited in 2 scientific papers (total in 2 papers)

An Approach to the Study of Finitely Presented Groups Based on the Notion of Discrete Curvature

I. G. Lysenokab

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b Stevens Institute of Technology
Full-text PDF (432 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm10985
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.
Keywords: finitely presented group, hyperbolic group.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work was supported by the Russian Science Foundation under grant 14-50-00005.
Received: 23.10.2015
Revised: 18.08.2017
English version:
Mathematical Notes, 2018, Volume 103, Issue 4, Pages 610–615
DOI: https://doi.org/10.1134/S0001434618030276
Bibliographic databases:
Document Type: Article
UDC: 517.54+515.16
Language: Russian
Citation: I. G. Lysenok, “An Approach to the Study of Finitely Presented Groups Based on the Notion of Discrete Curvature”, Mat. Zametki, 103:4 (2018), 568–575; Math. Notes, 103:4 (2018), 610–615
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
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