Zehrt, Thomas Zehrt-Liebendörfer, Christine 2011-10-07 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. application/pdf https://folia.unifr.ch/global/documents/302231 https://folia.unifr.ch/documents/302231/files/13366_2011_Article_73.pdf eng info:eu-repo/semantics/altIdentifier/doi/10.1007/s13366-011-0073-3 info:eu-repo/semantics/openAccess License undefined Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry. - 2012, vol. 53, no. 2, p. 451-460 Coxeter group Growth Function Polynomials and location of zeros Hyperbolic polytope info:eu-repo/classification/udc/51 The growth function of Coxeter garlands in $\mathbb{H}^4$ http://purl.org/coar/resource_type/c_6501