The classification of flag-transitive Steiner 3-designs

Details The classification of flag-transitive Steiner 3-designs The classification of flag-transitive Steiner 3-designs

2004-01-26

arxiv.org/abs/math/0401350v1

Mathematics

Combinatorics

27 pages; to appear in the journal "Advances in Geometry"

Scientific paper

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.

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