The growth rates of ideal coxeter polyhedra in hyperbolic 3-space

Jun Nonaka, Ruth Kellerhals

研究成果: Article査読

2 被引用数 (Scopus)

抄録

In [7], Kellerhals and Perren conjectured that the growth rates of the reflection groups given by compact hyperbolic Coxeter polyhedra are always Perron numbers. We prove that this conjecture holds in the context of ideal Coxeter polyhedra in H3. Our methods allow us to bound from below the growth rates of composite ideal Coxeter polyhedra by the growth rates of its ideal Coxeter polyhedral constituents.

本文言語English
ページ(範囲)379-391
ページ数13
ジャーナルTokyo Journal of Mathematics
40
2
DOI
出版ステータスPublished - 2017 12

ASJC Scopus subject areas

  • 数学 (全般)

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