Fibonacci groups, F(2,n), are hyperbolic for n odd and n >= 11
Group Theory
2020-05-22 v1 Combinatorics
Abstract
We prove that the Fibonacci group, F(2,n), for n odd and n >= 11 is hyperbolic. We do this by applying a curvature argument to an arbitrary van Kampen diagram of F(2,n) and show that it satisfies a linear isoperimetric inequality. It then follows that F(2, n) is hyperbolic.
Keywords
Cite
@article{arxiv.2005.10653,
title = {Fibonacci groups, F(2,n), are hyperbolic for n odd and n >= 11},
author = {Christopher Chalk},
journal= {arXiv preprint arXiv:2005.10653},
year = {2020}
}