Reflective and quasi-reflective Bianchi groups
Group Theory
2013-06-05 v2 Geometric Topology
Abstract
A discrete subgroup of the group of isometries of the hyperbolic space is called reflective if up to a finite index it is generated by reflections in hyperplanes. The main result of this paper is a complete classification of the reflective (and quasi-reflective) subgroups among the Bianchi groups and their extensions.
Cite
@article{arxiv.1210.2759,
title = {Reflective and quasi-reflective Bianchi groups},
author = {Mikhail Belolipetsky and John Mcleod},
journal= {arXiv preprint arXiv:1210.2759},
year = {2013}
}
Comments
18 pages, 4 figures; revised following referees comments; to appear in Transform. Groups