Growth rates of 3-dimensional hyperbolic Coxeter groups are Perron numbers

研究成果: Article査読

2 被引用数 (Scopus)

抄録

In this paper we consider the growth rates of 3-dimensional hyperbolic Coxeter polyhedra with at least one dihedral angle of the form π/k for an integer k ≥ 7. Combining a classical result by Parry with a previous result of ours, we prove that the growth rates of 3-dimensional hyperbolic Coxeter groups are Perron numbers.

本文言語English
ページ(範囲)405-422
ページ数18
ジャーナルCanadian Mathematical Bulletin
61
2
DOI
出版ステータスPublished - 2018 6

ASJC Scopus subject areas

  • Mathematics(all)

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