Hyperbolic groups of Fibonacci type and T(5) cyclically presented groups
Group Theory
2021-04-07 v2
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.
Keywords
Cite
@article{arxiv.2008.08986,
title = {Hyperbolic groups of Fibonacci type and T(5) cyclically presented groups},
author = {Ihechukwu Chinyere and Gerald Williams},
journal= {arXiv preprint arXiv:2008.08986},
year = {2021}
}
Comments
23 pages, 5 figures. Accepted Manuscript, to be published in Journal of Algebra