On boundaries of Coxeter groups and topological fractal structures
Group Theory
2010-11-30 v4 Geometric Topology
Abstract
In this paper, based on research on rank-one isometries by W.Ballmann and M.Brin and recent research on rank-one isometries of Coxeter groups by P.Caprace and K.Fujiwara, we study a topological fractal structure of boundaries of Coxeter groups. We also show that the limit-point set is dense in a boundary of a Coxeter group and introduce some remarks on boundaries of CAT(0) groups with rank-one isometries.
Keywords
Cite
@article{arxiv.0912.0061,
title = {On boundaries of Coxeter groups and topological fractal structures},
author = {Tetsuya Hosaka},
journal= {arXiv preprint arXiv:0912.0061},
year = {2010}
}
Comments
9 pages