Geodesic
The flag-transitive $C\sb 3$-geometries of finite order
Journal of Algebraic Combinatorics, Tome 5 (1996) no. 3, pp. 251-284.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: It is shown that a flag-transitive $C _{3}$-geometry of finite order $( x, y)$ with $xge$ 2 is either a finite building of type $C _{3}$ (and hence the classical polar space for a 6-dimensional symplectic space, a 6-dimensional orthogonal space of plus type, a 6- or 7-dimensional hermitian space, a 7-dimensional orthogonal space, or an 8-dimensional orthogonal space of minus type) or the sporadic $A7$-geometry with 7 points.
Keywords: incidence geometry, C3-geometry, flag-transitivity, generalized quadrangle 
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     title = {The flag-transitive $C\sb 3$-geometries of finite order},
     journal = {Journal of Algebraic Combinatorics},
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     year = {1996},
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Yoshiara, Satoshi. The flag-transitive $C\sb 3$-geometries of finite order. Journal of Algebraic Combinatorics, Tome 5 (1996) no. 3, pp. 251-284. http://geodesic.mathdoc.fr/item/JAC_1996__5_3_a0/