Spherical space forms revisited

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.

Fixed an error pointed out by a referee; section 3, starting with lemma 3.7, has been rewritten