The growth function of Coxeter garlands in $\mathbb{H}^4$

Zehrt, Thomas; Zehrt-Liebendörfer, Christine

doi:10.1007/s13366-011-0073-3

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Journal article

The growth function of Coxeter garlands in $\mathbb{H}^4$

Zehrt, Thomas Département de mathématiques, Université de Fribourg, Switzerland
Zehrt-Liebendörfer, Christine Mathematisches Institut, Universität Basel, Switzerland

07.10.2011

Published in:

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry. - 2012, vol. 53, no. 2, p. 451-460

Polynomials and location of zeros

English The growth function W(t) of a Coxeter group W relative to a Coxeter generating set is always a rational function. We prove by an explicit construction that there are infinitely many cocompact Coxeter groups W in hyperbolic 4-space with the following property. All the roots of the denominator of W(t) are on the unit circle except exactly two pairs of real roots.

Faculty

Faculté des sciences et de médecine

Department

Département de Mathématiques

Language