Abstract
We study colorings of a tree induced from isometries of the hyperbolic plane given an ideal tessellation. We show that, for a given tessellation of the hyperbolic plane by ideal polygons, a coloring can be associated with any element of Isom(H 2), and the element is a commensurator of Γ if and only if its associated coloring is periodic, generalizing a result of Hedlund and Morse.
Original language | English |
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Article number | 706496 |
Journal | Abstract and Applied Analysis |
Volume | 2013 |
DOIs | |
State | Published - 2013 |