par Leemans, Dimitri
Référence Australasian journal of combinatorics, 33, page (231-236)
Publication Publié, 2005
Article révisé par les pairs
Résumé : We announce the end of the classification of all firm and residually connected geometries satisfying the conditions (IP)2 and (2T)1 and on which the Higman-Sims group HS acts flag-transitively and residually weakly primitively. We state some facts regarding the results. In particular, we construct two rank three geometries which are extensions of the Hoffman- Singleton graph. These are the first known extensions of the Hoffman- Singleton graph. The complete list of geometries is available as a supplement to this paper.