Classification of finite groups generated by reflections and rotations
Group Theory
2017-11-02 v1 Differential Geometry
Abstract
We survey the existing parts of a classification of finite groups generated by orthogonal transformations in a finite-dimensional Euclidean space whose fixed point subspace has codimension one or two and extend it to a complete classification. These groups naturally arise in the study of the quotient of a Euclidean space by a finite orthogonal group and hence in the theory of orbifolds.
Cite
@article{arxiv.1509.06922,
title = {Classification of finite groups generated by reflections and rotations},
author = {Christian Lange and Marina A. Mikhailova},
journal= {arXiv preprint arXiv:1509.06922},
year = {2017}
}
Comments
38 pages, accepted by Transformation Groups