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arXiv · 2005.10653

Fibonacci groups, F(2,n), are hyperbolic for n odd and n >= 11

Christopher Chalk
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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.

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Christopher Chalk. 2020-05-21. Fibonacci groups, F(2,n), are hyperbolic for n odd and n >= 11. https://arxiv.org/abs/2005.10653

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