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Chamber graphs of
minimal parabolic sporadic geometries
Veronica Kelsey and Peter Rowley |
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Vol. 18 (2020), No. 1, 25–37
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Abstract |
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We explore the minimal characteristic two parabolic geometries for the finite sporadic simple groups, as introduced by Ronan and Stroth. The chamber graphs of the geometries are studied, with the aid of Magma, focusing on their disc structure and geodesic closures. For the larger sporadic geometries which are beyond computational reach we give bounds on the diameter of their chamber graphs. |
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Keywords
chamber graph, geometries, sporadic simple groups
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Mathematical Subject Classification 2010
Primary: 51E24
Secondary: 05B25
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Milestones
Received: 25 September 2019
Revised: 2 March 2020
Accepted: 17 March 2020
Published: 15 October 2020
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Authors |
| Veronica Kelsey | |
| School of Mathematics and
Statistics University of St Andrews St Andrews KY16 9SS United Kingdom |
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| Peter Rowley | |
| Department of Mathematics Manchester University Manchester M13 6PL United Kingdom |
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