N. Bredon

activity

20202025

collaborators

4 papers

math.CO2025

On ADEG-polyhedra in hyperbolic spaces

Naomi Bredon

In this paper, we establish that the non-zero dihedral angles of hyperbolic Coxeter polyhedra of large dimensions are not arbitrarily small. Namely, for dimensions $n \geq 32$ , they…

math.GR2022

Coxeter systems with $2$ -dimensional Davis complexes, growth rates and Perron numbers

Naomi Bredon, Tomoshige Yukita

In this paper, we study growth rates of Coxeter systems with Davis complexes of dimension at most $2$ . We show that if the Euler characteristic $χ$ of the nerve of a Coxeter system…

math.GT2021

Hyperbolic Coxeter groups of minimal growth rates in higher dimensions

Naomi Bredon

The cusped hyperbolic n-orbifolds of minimal volume are well known for $n \leq 9$ . Their fundamental groups are related to the Coxeter n-simplex groups $Γ_{n}$ listed in Table 1. In…

math.GT2020

Hyperbolic Coxeter groups and minimal growth rates in dimensions four and five

Naomi Bredon, Ruth Kellerhals

For small $n$ , the known compact hyperbolic $n$ -orbifolds of minimal volume are intimately related to Coxeter groups of smallest rank. For $n = 2$ and $3$ , these Coxeter groups are g…

On ADEG-polyhedra in hyperbolic spaces

Coxeter systems with 2-dimensional Davis complexes, growth rates and Perron numbers

Hyperbolic Coxeter groups of minimal growth rates in higher dimensions

Hyperbolic Coxeter groups and minimal growth rates in dimensions four and five

Coxeter systems with $2$ -dimensional Davis complexes, growth rates and Perron numbers