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Homogeneous and ultrahomogeneous Steiner systems

par Devillers, Alice
Référence Journal of combinatorial designs, 11, 3, page (153-161)
Publication Publié, 2003

Article révisé par les pairs

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Résumé :

A Steiner system (or t - (v, k, 1) design) S is said to be homogeneous if, whenever the substructures induced on two finite subsets S1 and S2 of S are isomorphic, there is at least one automorphism of S mapping S1 onto S2, and is said to be ultrahomogeneous if each isomorphism between the substructures induced on two finite subsets of S can be extended to an automorphism of S. We give a complete classification of all homogeneous and ultrahomogeneous Steiner systems.