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A rank 3 geometry for the O’Nan group connected with the Livingstone graph

par Connor, Thomas
Référence Innovations in Incidence Geometry, 13, 1, page (83-95)
Publication Publié, 2013

Article révisé par les pairs

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Résumé :

We construct a rank 3 geometry Г(O'N) over the diagram (formulae given) whose automorphism group is the O’Nan sporadic simple group. The maximal parabolic subgroups are the Janko group J1, 2 × S5 and the Mathieu group M11. Our construction is based on a convenient amalgam of known geometries of rank 2 for J1 and M11 extracted from the subgroup lattice of O'N.