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On the rank $5$
polytopes of the Higman–Sims simple group
Veronica Kelsey, Robert Nicolaides and Peter Rowley |
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Vol. 19 (2022), No. 4, 153–164
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Abstract |
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The maximal rank of an abstract regular polytope for the Higman–Sims simple group is . There are four such polytopes of rank and in this note we describe them using the Higman–Sims graph and the decomposition of this graph into five double covers of the Petersen graph. |
Keywords
polytopes, C-strings, Higman–Sims simple group
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Mathematical Subject Classification
Primary: 52B15
Secondary: 20D08
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Milestones
Received: 10 January 2022
Revised: 23 May 2022
Accepted: 7 August 2022
Published: 1 December 2022
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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 University of Manchester Manchester United Kingdom |
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| Peter Rowley | |
| Department of Mathematics University of Manchester Manchester United Kingdom |
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