On topological actions of finite, non-standard groups on spheres
Geometric Topology
2016-07-20 v2
Abstract
The standard actions of finite groups on spheres S^d are linear actions, i.e. by finite subgroups of the orthogonal group O(d+1). We prove that, in each dimension d>5, there is a finite group G which admits a faithful, topological action on a sphere S^d but is not isomorphic to a subgroup of O(d+1). The situation remains open for smooth actions.
Keywords
Cite
@article{arxiv.1602.04599,
title = {On topological actions of finite, non-standard groups on spheres},
author = {Bruno P. Zimmermann},
journal= {arXiv preprint arXiv:1602.04599},
year = {2016}
}
Comments
revised version, to appear in Monatsh. Math