par Leemans, Dimitri 
Référence Bulletin of the Belgian Mathematical Society Simon Stevin, 5, 2-3, page (373-387)
Publication Publié, 1998-05
Référence Bulletin of the Belgian Mathematical Society Simon Stevin, 5, 2-3, page (373-387)
Publication Publié, 1998-05
Article révisé par les pairs
| Résumé : | We classify, up to isomorphism, all the thin residually connected geometries on which the group Sz(8) acts flag-transitively. This paper is a sequel of [12] where all the firm residually connected geometries on which Sz(8) acts flag-transitively and residually weakly primitively are classified, up to isomorphism. We obtain 183 thin geometries, all of rank 3 (147 of them appearing already in [12]). We compute all their rank 2 truncations. When the Neumaier construction is applyable, we give the geometries obtained from this construction and we mention whether they are regular or chiral. Most of the results obtained here rely on computer algebra. |
