On the growth rates of cofinite 3-dimensional hyperbolic Coxeter groups whose dihedral angles are of the form $\frac{\pi}{m}$ for $m=2,3,4,5,6$

Tomoshige Yukita

arxiv: 1603.04592 · v4 · pith:RGJKGIDInew · submitted 2016-03-15 · 🧮 math.GT

On the growth rates of cofinite 3-dimensional hyperbolic Coxeter groups whose dihedral angles are of the form frac{π}{m} for m=2,3,4,5,6

Tomoshige Yukita This is my paper

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keywords growthratesanglescofinitecoxeterdihedraldimensionalform

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We study arithmetic properties of the growth rates of cofinite 3-dimensional hyperbolic Coxeter groups whose dihedral angles are of the form $\frac{\pi}{m}$ for $m=2,3,4,5,6$ and show that the growth rates are always Perron numbers.

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On the growth rates of cofinite 3-dimensional hyperbolic Coxeter groups whose dihedral angles are of the form frac{π}{m} for m=2,3,4,5,6

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