Groups of type L_2(q) acting on polytopes
Combinatorics
2007-05-23 v1 Metric Geometry
Abstract
We prove that if G is a string C-group of rank 4 and G is isomorphic to L_2(q) with q a prime power, then q must be 11 or 19. The polytopes arising are Grunbaum's 11-cell of type {3,5,3} for L_2(11) and Coxeter's 57-cell of type {5,3,5} for L_2(19), each a locally projective regular 4-polytope.
Cite
@article{arxiv.math/0606660,
title = {Groups of type L_2(q) acting on polytopes},
author = {Dimitri Leemans and Egon Schulte},
journal= {arXiv preprint arXiv:math/0606660},
year = {2007}
}
Comments
14 pages (Advances in Geometry, to appear)