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On Generalized Hexagons and a Near Octagon whose Lines have Three Points

par Cohen, Arjeh;Tits, Jacques
Référence European journal of combinatorics, 6, 1, page (13-27)
Publication Publié, 1985-03

Article révisé par les pairs

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Résumé :

Proofs are given of the facts that any finite generalized hexagon of order (2, t) is isomorphic to the classical generalized hexagon associated with the group G2(2) or to its dual if t = 2 and that it is isomorphic to the classical generalized hexagon associated with the group 3D4(2) if t = 8. Furthermore, it is shown that any near octagon of order (2, 4; 0, 3) is isomorphic to the known one associated with the sporadic simple group HJ.