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Abstract
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The maximal rank of an abstract regular polytope for
M, 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.
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Keywords
abstract regular polytope, maximal rank, Mathieu group, MOG
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Mathematical Subject Classification
Primary: 52B15
Secondary: 20D08
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Milestones
Received: 1 August 2023
Revised: 27 September 2023
Accepted: 29 October 2023
Published: 9 January 2024
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© 2024 The Author(s), under
exclusive license to MSP (Mathematical Sciences
Publishers). |
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