Testing chirality on hypertopes
Group Theory
2025-11-19 v1 Combinatorics
Abstract
In this paper we give group-theoretical conditions on the maximal parabolic subgroups of a coset geometry for it to be a chiral hypertope, bypassing the need to construct the incidence graph of the coset geometry to determine whether or not it is a chiral hypertope. This result permits to study much larger coset geometries with computers and gives hope on proving theoretical results about coset geometries that are chiral hypertopes.
Cite
@article{arxiv.2511.14562,
title = {Testing chirality on hypertopes},
author = {Wei-Juan Zhang and Dimitri Leemans},
journal= {arXiv preprint arXiv:2511.14562},
year = {2025}
}