Polytopes with Preassigned Automorphism Groups
Combinatorics
2015-05-26 v1 Metric Geometry
Abstract
We prove that every finite group is the automorphism group of a finite abstract polytope isomorphic to a face-to-face tessellation of a sphere by topological copies of convex polytopes. We also show that this abstract polytope may be realized as a convex polytope.
Cite
@article{arxiv.1505.06253,
title = {Polytopes with Preassigned Automorphism Groups},
author = {Egon Schulte and Gordon Ian Williams},
journal= {arXiv preprint arXiv:1505.06253},
year = {2015}
}
Comments
Discrete & Computational Geometry (to appear)