9 citations · 11 across the 3 of their papers we have counts for
3 papers
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.MG2013★ 9 cited
Growth rates of cocompact hyperbolic Coxeter groups and 2-Salem numbers
Yuriko Umemoto
By the results of Cannon, Wagreich and Parry, it is known that the growth rate of a cocompact Coxeter group in 2-dimensional hyperbolic space and 3-dimensional hyperbolic spa…
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…