A new algorithm to classify chiral polytopes with a given automorphism group
Group Theory
2019-12-06 v1 Combinatorics
Abstract
We present a new algorithm to compute all the chiral polytopes that have a given group as full automorphism group. This algorithm uses a new set of generators that characterize the group, all of them except one being involutions. It permits to compute all chiral polytopes of groups that were previously unreachable by other known algorithms.
Cite
@article{arxiv.1912.02287,
title = {A new algorithm to classify chiral polytopes with a given automorphism group},
author = {Francis Buekenhout and Dimitri Leemans and Philippe Tranchida},
journal= {arXiv preprint arXiv:1912.02287},
year = {2019}
}