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A
note on the rank 5 polytopes of M$_{24}$
Veronica Kelsey, Robert Nicolaides and Peter Rowley |
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Vol. 21 (2024), No. 1, 11–15
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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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Authors |
| Veronica Kelsey | |
| Department of Mathematics University of Manchester Manchester United Kingdom |
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| Robert Nicolaides | |
| Department of Mathematics Manchester University Manchester United Kingdom |
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| Peter Rowley | |
| School of Mathematics Manchester University Manchester United Kingdom |
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| © 2024 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). |
