177 research outputs found
Classification of finite groups generated by reflections and rotations
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.Comment: 38 pages, accepted by Transformation Group
- …