A Note on the Rank 5 Polytopes of M24

Veronica Kelsey, Robert Nicolaides,Peter Rowley

arXiv (Cornell University)（2022）

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摘要

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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关键词

polytopes,rank

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