An Approach to the Study of Finitely Presented Groups Based on the Notion of Discrete Curvature
An Approach to the Study of Finitely Presented Groups Based on the Notion of Discrete Curvature
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基于离散曲率概念的有限群的研究方法
DOI：
10.1134/s0001434618030276
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发表时间：
2018
影响因子：
0.6
通讯作者：
I. Lysenok
中科院分区：
文献类型：
--
作者：
I. Lysenok
本文给出了一个由生成元和定义关系表示的群的双曲性的充分条件。该条件是制定在一个离散的模拟曲率的林登-范坎彭图在一个组的介绍，是一个推广的小取消条件。
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.