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Abstract In this paper we consider the growth rates of 3-dimensional hyperbolic Coxeter polyhedra with at least one dihedral angle of the form $\frac{\pi }{k}$ for an integer $k\ge 7$… Click to show full abstract
Abstract In this paper we consider the growth rates of 3-dimensional hyperbolic Coxeter polyhedra with at least one dihedral angle of the form $\frac{\pi }{k}$ for an integer $k\ge 7$ . Combining a classical result by Parry with a previous result of ours, we prove that the growth rates of 3-dimensional hyperbolic Coxeter groups are Perron numbers.
Keywords:
hyperbolic coxeter;
rates dimensional;
growth rates;
dimensional hyperbolic
Journal Title: Canadian Mathematical Bulletin
Year Published: 2018
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Journal Title: Canadian Mathematical Bulletin
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!