arXiv:2006.09018 Abstract | arXiv Analytics

arXiv:2006.09018 [math.GR]Abstract References Reviews Resources

Hyperbolicity of T(6) Cyclically Presented Groups

Published 2020-06-16Version 1

We consider groups defined by cyclic presentations where the defining word has length three and the cyclic presentation satisfies the T(6) small cancellation condition. We classify when these groups are hyperbolic. When combined with known results, this completely classifies the hyperbolic T(6) cyclically presented groups.

Comments: 18 pages, 8 figures

Categories: math.GR

Subjects: 20F05, 20F06, 20F67

Keywords: hyperbolicity, small cancellation condition, cyclic presentation satisfies, defining word

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