Geodesic
Finite flag-transitive $A\sb{n-2}.L\sp*.L$ geometries
Journal of Algebraic Combinatorics, Tome 5 (1996) no. 2, pp. 105-116.

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Summary: We classify finite flag-transitive geometries of rank $n ( A _{ n - 2} . L ^{*} . L) \cdot - - \cdot - \cdot \cdot \cdot \cdot \cdot - \cdot - - \cdot - - \cdot - - \cdot ^{ L ^{*} L}$ (A_n - 2 .L^ * .L);;;; $\cdot - - \cdot - \cdot \cdot \cdot \cdot \cdot - \cdot - - \cdot - - \cdot - - \cdot $^L^* L
Keywords: diagram geometry, projective space, affine Grassmannian, Mathieu-Witt design 
@article{JAC_1996__5_2_a5,
     author = {Cuypers, Hans and Pasini, Antonio},
     title = {Finite flag-transitive $A\sb{n-2}.L\sp*.L$ geometries},
     journal = {Journal of Algebraic Combinatorics},
     pages = {105--116},
     publisher = {mathdoc},
     volume = {5},
     number = {2},
     year = {1996},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_1996__5_2_a5/}
}
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Cuypers, Hans; Pasini, Antonio. Finite flag-transitive $A\sb{n-2}.L\sp*.L$ geometries. Journal of Algebraic Combinatorics, Tome 5 (1996) no. 2, pp. 105-116. http://geodesic.mathdoc.fr/item/JAC_1996__5_2_a5/