Chamber graphs of minimal parabolic sporadic geometries

Autor:	Peter Rowley, Veronica Kelsey
Rok vydání:	2020
Předmět:	51E24 Geodesic sporadic simple groups Simple group Structure (category theory) Geometry geometries 05B25 Magma (computer algebra system) computer chamber graph Geology computer.programming_language
Zdroj:	Innov. Incidence Geom. Algebr. Topol. Comb. 18, no. 1 (2020), 25-37
ISSN:	2640-7345 2640-7337
DOI:	10.2140/iig.2020.18.25
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7965696c31ac0931272e1e936d1e3e5e https://doi.org/10.2140/iig.2020.18.25 Zobrazit plný text záznamu