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arXiv · 2008.08986

Hyperbolic groups of Fibonacci type and T(5) cyclically presented groups

Ihechukwu Chinyere·Gerald Williams
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Abstract

Building on previous results concerning hyperbolicity of groups of Fibonacci type, we give an almost complete classification of the (non-elementary) hyperbolic groups within this class. We are unable to determine the hyperbolicity status of precisely two groups, namely the Gilbert-Howie groups H(9,4), H(9,7). We show that if H(9,4) is torsion-free then it is not hyperbolic. We consider the class of T(5) cyclically presented groups and classify the (non-elementary) hyperbolic groups and show that the Tits alternative holds.

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Ihechukwu Chinyere, Gerald Williams. 2020-08-20. Hyperbolic groups of Fibonacci type and T(5) cyclically presented groups. https://arxiv.org/abs/2008.08986

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