Spherical space forms revisited
Geometric Topology
2016-09-15 v3 Differential Geometry
Group Theory
Abstract
We give a simplified proof of J. A. Wolf's classification of finite groups that can act freely and isometrically on a round sphere of some dimension. We slightly improve the classification by removing some non-obvious redundancy. The groups are the same as the Frobenius complements of finite group theory.
Cite
@article{arxiv.1509.00906,
title = {Spherical space forms revisited},
author = {Daniel Allcock},
journal= {arXiv preprint arXiv:1509.00906},
year = {2016}
}
Comments
Fixed an error pointed out by a referee; section 3, starting with lemma 3.7, has been rewritten