SALEM NUMBERS, SPECTRAL RADII AND GROWTH RATES OF HYPERBOLIC COXETER GROUPS
نویسندگان
چکیده
We show that not every Salem number appears as the growth rate of a cocompact hyperbolic Coxeter group. also give new proof fact rates planar groups are spectral radii transformations, and this need be case for tetrahedral groups.
منابع مشابه
Growth Series of Some Hyperbolic Graphs and Salem Numbers
Extending the analogous result of Cannon and Wagreich for the fundamental groups of surfaces, we show that, for the l-regular graphs Xl,m associated to regular tessellations of hyperbolic plane by m-gons, the denominators of the growth series (which are rational and were computed by Floyd and Plotnick [FP94]) are reciprocal Salem polynomials. As a consequence, the growth rates of these graphs a...
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Extending the analogous result of Cannon andWagreich for the fundamental groups of surfaces, we show that, for the l-regular graphs Xl,m associated to regular tessellations of the hyperbolic plane by m-gons, the denominators of the growth series (which are rational and were computed by Floyd and Plotnick (Floyd and Plotnick, 1994)) are reciprocal Salem polynomials. As a consequence, the growth ...
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ژورنال
عنوان ژورنال: Transformation Groups
سال: 2022
ISSN: ['1531-586X', '1083-4362']
DOI: https://doi.org/10.1007/s00031-022-09715-x