Highly symmetric hypertopes
Group Theory
2016-04-13 v1 Combinatorics
Abstract
We study incidence geometries that are thin and residually connected. These geometries generalise abstract polytopes. In this generalised setting, guided by the ideas from the polytopes theory, we introduce the concept of chirality, a property of orderly asymmetry occurring frequently in nature as a natural phenomenon. The main result in this paper is that automorphism groups of regular and chiral thin residually connected geometries need to be -groups in the regular case and -groups in the chiral case.
Cite
@article{arxiv.1604.03162,
title = {Highly symmetric hypertopes},
author = {Maria Elisa Fernandes and Dimitri Leemans and Asia Ivić Weiss},
journal= {arXiv preprint arXiv:1604.03162},
year = {2016}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1411.6071