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
@article{JAC_1995__4_2_a2, author = {Joswig, Michael and Van Maldeghem, H.}, title = {An essay on the {Ree} octagons}, journal = {Journal of Algebraic Combinatorics}, pages = {145--164}, publisher = {mathdoc}, volume = {4}, number = {2}, year = {1995}, language = {en}, url = {https://geodesic-test.mathdoc.fr/item/JAC_1995__4_2_a2/} }
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/