English

Characterization of finite groups generated by reflections and rotations

Geometric Topology 2017-11-02 v2 Group Theory

Abstract

We characterize finite groups G generated by orthogonal transformations in a finite-dimensional Euclidean space V whose fixed point subspace has codimension one or two in terms of the corresponding quotient space V/G with its quotient piecewise linear structure.

Keywords

Cite

@article{arxiv.1509.06771,
  title  = {Characterization of finite groups generated by reflections and rotations},
  author = {Christian Lange},
  journal= {arXiv preprint arXiv:1509.06771},
  year   = {2017}
}

Comments

revised version, accepted by Journal of Topology

R2 v1 2026-06-22T11:03:06.910Z