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arXiv · 1509.06922

Classification of finite groups generated by reflections and rotations

Christian Lange·Marina A. Mikhailova
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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.

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Christian Lange, Marina A. Mikhailova. 2015-09-23. Classification of finite groups generated by reflections and rotations. https://arxiv.org/abs/1509.06922

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