An essay on the Ree octagons
Journal of Algebraic Combinatorics, Tome 4 (1995) no. 2, pp. 145-164.

Voir la notice de l'article dans Electronic Library of Mathematics

Summary: We coordinatize the Moufang generalized octagons arising from the Ree groups of type $^{2} F _{4}$. In this way, we obtain a very concrete and explicit description of these octagons. We use this to prove some results on suboctagons, generalized homologies, Suzuki-Tits ovoids and groups of projectivities of the Ree octagons. All our results hold for arbitrary Ree octagons, finite or not.
Mots-clés : Tits building, generalized octagon, group of projectivities, coordinatization
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Joswig, Michael; Van Maldeghem, H. An essay on the Ree octagons. Journal of Algebraic Combinatorics, Tome 4 (1995) no. 2, pp. 145-164. https://geodesic-test.mathdoc.fr/item/JAC_1995__4_2_a2/