Maniplexes with automorphism group $\textrm{PSL}_2(q)$
Combinatorics
2022-08-23 v1
Abstract
A maniplex of rank is a combinatorial object that generalises the notion of a rank abstract polytope. A maniplex with the highest possible degree of symmetry is called reflexible. In this paper we prove that there is a rank reflexible maniplex with automorphism group for infinitely many prime powers , and that no reflexible maniplex of rank exists that has as its full automorphism group.
Keywords
Cite
@article{arxiv.2208.10195,
title = {Maniplexes with automorphism group $\textrm{PSL}_2(q)$},
author = {Dimitri Leemans and Micael Toledo},
journal= {arXiv preprint arXiv:2208.10195},
year = {2022}
}