Geodesic
Basic coset geometries
Journal of Algebraic Combinatorics, Tome 36 (2012) no. 4, pp. 561-594.

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

Summary: In earlier work we gave a characterisation of pregeometries which are `basic' (that is, admit no `non-degenerate' quotients) relative to two different kinds of quotient operation, namely taking imprimitive quotients and normal quotients. Each basic geometry was shown to involve a faithful group action, which is primitive or quasiprimitive, respectively, on the set of elements of each type. For each O'Nan-Scott type of primitive group, we construct a new infinite family of geometries, which are thick and of unbounded rank, and which admit a flag-transitive automorphism group acting faithfully on the set of elements of each type as a primitive group of the given O'Nan-Scott type.
Keywords: incidence geometries, primitive permutation group 
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     title = {Basic coset geometries},
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Giudici, Michael; Pearce, Geoffrey; Praeger, Cheryl E. Basic coset geometries. Journal of Algebraic Combinatorics, Tome 36 (2012) no. 4, pp. 561-594. http://geodesic.mathdoc.fr/item/JAC_2012__36_4_a3/