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Geometries for the group PSL(3,4)

par Gottschalk, Harald;Leemans, Dimitri
Référence European journal of combinatorics, 24, 3, page (267-291)
Publication Publié, 2003-04

Article révisé par les pairs

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Résumé :

We classify all firm, residually connected coset geometries, on which the group PSL(3,4) acts as a flag-transitive automorphism group fulfilling the residually weakly primitive condition: the stabilizer of any flag F acts primitively on the elements of some type in the residue ΓF. We demand also that every residue of rank two satisfies the intersection property. We give geometric constructions for all geometries obtained. © 2003 Elsevier Science Ltd. All rights reserved.