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2020 Chamber graphs of minimal parabolic sporadic geometries
Veronica Kelsey, Peter Rowley
Innov. Incidence Geom. Algebr. Topol. Comb. 18(1): 25-37 (2020). DOI: 10.2140/iig.2020.18.25

Abstract

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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Veronica Kelsey. Peter Rowley. "Chamber graphs of minimal parabolic sporadic geometries." Innov. Incidence Geom. Algebr. Topol. Comb. 18 (1) 25 - 37, 2020. https://doi.org/10.2140/iig.2020.18.25

Information

Received: 25 September 2019; Revised: 2 March 2020; Accepted: 17 March 2020; Published: 2020
First available in Project Euclid: 26 November 2020

MathSciNet: MR4162941
Digital Object Identifier: 10.2140/iig.2020.18.25

Subjects:
Primary: 51E24
Secondary: 05B25

Rights: Copyright © 2020 Mathematical Sciences Publishers

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