Curvature distribution, relative presentations and hyperbolicity with an application to Fibonacci groups

被引：0

作者：

Chalk, Christopher P. ^{[1
]}

Edjvet, Martin ^{[2
]}

Juhasz, Arye ^{[3
]}

机构：

[1] 34 Brotherton Dr, Manchester M3 6BH, England

[2] Univ Nottingham, Sch Math Sci, Univ Pk, Nottingham NG7 2RD, England

[3] Technion Israel Inst Technol, Dept Math, IL-3200 Haifa, Israel

来源：

JOURNAL OF ALGEBRA | 2024年 / 644卷

关键词：

Hyperbolic group; van Kampen diagram; Curvature distribution; Relative group presentation; Relative diagram;

D O I：

10.1016/j.jalgebra.2024.01.023

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a finite presentation for a group G which can also be realised as a relative presentation we give conditions on the relative presentation which, if satisfied, proves G hyperbolic. Using a curvature distribution method we confirm these conditions for the length four one -relator relative presentation (u, t |tn, tmutu-r) for many values of r and n deduce that the corresponding generalised Fibonacci groups F(r, n) are hyperbolic. (c) 2024 Elsevier Inc. All rights reserved.

引用

页码：796 / 834

页数：39

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