A Note on the Rank 5 Polytopes of M24
Group Theory
2022-01-07 v1 Combinatorics
Abstract
The maximal rank of an abstract regular polytope for M24, the Mathieu group of degree 24, is 5. There are four such polytopes of rank 5 and in this note we describe them using Curtis's MOG. This description is then used to give an upper bound for the diameter of the chamber graphs of these polytopes.
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Cite
@article{arxiv.2201.02128,
title = {A Note on the Rank 5 Polytopes of M24},
author = {Veronica Kelsey and Robert Nicolaides and Peter Rowley},
journal= {arXiv preprint arXiv:2201.02128},
year = {2022}
}
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6 pages