An Approach to the Study of Finitely Presented Groups Based on the Notion of Discrete Curvature
- Autores: Lysenok I.G.1,2
-
Afiliações:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Stevens Institute of Technology
- Edição: Volume 103, Nº 3-4 (2018)
- Páginas: 610-615
- Seção: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150749
- DOI: https://doi.org/10.1134/S0001434618030276
- ID: 150749
Citar
Resumo
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.
Palavras-chave
Sobre autores
I. Lysenok
Steklov Mathematical Institute of Russian Academy of Sciences; Stevens Institute of Technology
Autor responsável pela correspondência
Email: igor.lysenok@gmail.com
Rússia, Moscow; Hoboken
Arquivos suplementares
