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New geometries for finite groups and polytopes

par Lefèvre, Christiane ;Percsy, Nicolas ;Leemans, Dimitri
Référence Bulletin of the Belgian Mathematical Society Simon Stevin, 7, 4, page (583-610)
Publication Publié, 2000-10

Article révisé par les pairs

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Résumé :

We describe two methods to obtain new geometries from classes of geometries whose diagram satisfy given conditions. This gives rise to lots of new geometries for finite groups, and in particular for sporadic groups. It also produces new thin geometries related to polytopes.