Arithmetic hyperbolic reflection groups
Geometric Topology
2016-07-06 v4 Group Theory
Abstract
A hyperbolic reflection group is a discrete group generated by reflections in the faces of an -dimensional hyperbolic polyhedron. This survey article is dedicated to the study of arithmetic hyperbolic reflection groups with an emphasis on the results that were obtained in the last ten years and on the open problems.
Cite
@article{arxiv.1506.03111,
title = {Arithmetic hyperbolic reflection groups},
author = {Mikhail Belolipetsky},
journal= {arXiv preprint arXiv:1506.03111},
year = {2016}
}
Comments
42 pages, 2 figures, survey article; v2: many small corrections and updates, added section 8 on reflective modular forms; v3: introduction rewritten following referee's suggestion, some more references added; v4: published version