论文标题

关于M24等级5多台面的注释

A Note on the Rank 5 Polytopes of M24

论文作者

Kelsey, Veronica, Nicolaides, Robert, Rowley, Peter

论文摘要

M24的抽象常规多层层的最大等级是24的Mathieu组,为5。等级5的四个这样的多台面,在此注释中,我们使用Curtis的Mog描述了它们。然后,该描述用于给出这些多面体室图直径的上限。

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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