On chiral polytopes having a group PSL(3,q) as automorphism group
Group Theory
2020-05-13 v1 Combinatorics
Abstract
For each prime power , we construct a rank four chiral polytope that has a group as automorphism group and Schl\"afli type . We also construct rank five polytopes for some values of and we show that there is no chiral polytope of rank at least six having a group or as automorphism group.
Cite
@article{arxiv.2005.05746,
title = {On chiral polytopes having a group PSL(3,q) as automorphism group},
author = {Dimitri Leemans and Adrien Vandenschrick},
journal= {arXiv preprint arXiv:2005.05746},
year = {2020}
}