A note on groups of a family of hyperbolic tessellations
Formal Languages and Automata Theory
2014-02-19 v1
Abstract
In this paper we study the word problem of groups corresponding to tessellations of the hyperbolic plane. In particular using the Fibonacci technology developed by the second author we show that groups corresponding to the pentagrid or the heptagrid are not automatic.
Keywords
Cite
@article{arxiv.1402.4337,
title = {A note on groups of a family of hyperbolic tessellations},
author = {Anthony Gasperin and Maurice Margenstern},
journal= {arXiv preprint arXiv:1402.4337},
year = {2014}
}
Comments
31 pages, 9 figures