Polytopes with groups of type PGL_2(q)
Combinatorics
2009-09-11 v1
Abstract
There exists just one regular polytope of rank larger than 3 whose full automorphism group is a projective general linear group PGL_2(q), for some prime-power q. This polytope is the 4-simplex and the corresponding group is PGL_2(5), which is isomorphic to S_5.
Keywords
Cite
@article{arxiv.0909.1991,
title = {Polytopes with groups of type PGL_2(q)},
author = {Dimitri Leemans and Egon Schulte},
journal= {arXiv preprint arXiv:0909.1991},
year = {2009}
}
Comments
Ars Mathematica Contemporanea (to appear, 9 pages)