2 citations · 3 across the 3 of their papers we have counts for
3 papers
math.GT2015★ 1 cited
On the growth rate of ideal Coxeter groups in hyperbolic 3-space
Yohei Komori, Tomoshige Yukita
We study the set G of growth rates of of ideal Coxeter groups in hyperbolic 3-space which consists of real algebraic integers greater than 1. We show that (1) G is unbounded above…
math.MG2015★ 2 cited
On 3-dimensional hyperbolic Coxeter pyramids
Yohei Komori, Yuriko Umemoto
After classifying 3-dimensional hyperbolic Coxeter pyramids by means of elementary plane geometry, we calculate growth functions of corresponding Coxeter groups by using Steinberg…
math.GT2011
The Banach-Tarski paradox for flag manifolds
Yohei Komori, Yuriko Umemoto
The famous Banach-Tarski paradox claims that the three dimensional rotation group acts on the two dimensional sphere paradoxically. In this paper, we generalize their result to sho…