The classification of flag-transitive Steiner 3-designs
arXiv:math/0401350 · doi:10.1515/advg.2005.5.2.195
Abstract
We solve the long-standing open problem of classifying all 3-(v,k,1) designs with a flag-transitive group of automorphisms (cf. A. Delandtsheer, Geom. Dedicata 41 (1992), p. 147; and in: "Handbook of Incidence Geometry", ed. by F. Buekenhout, Elsevier Science, Amsterdam, 1995, p. 273; but presumably dating back to 1965). Our result relies on the classification of the finite 2-transitive permutation groups.
27 pages; to appear in the journal "Advances in Geometry"