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The classification of flag-transitive Steiner 3-designs
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Michael Huber
Published/Copyright:
July 27, 2005
Abstract
We solve the long-standing open problem of classifying all 3-(v, k, 1) designs with a flag-transitive group of automorphisms (cf. [11], p. 147, and [12], 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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Published Online: 2005-07-27
Published in Print: 2005-04-20
© de Gruyter
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- Localization of automorphisms of some unbounded Levi degenerate algebraic hypersurfaces in ℂn
- Virtual and non-virtual algebraic Betti numbers
- The classification of flag-transitive Steiner 3-designs
- On surfaces with two apparent double points
- Halphen conditions and postulation of nodes
- Topological affine planes with affine connections
- The embedding of (0, 2)-geometries and semipartial geometries in AG(n, q)
- The geometry of isoparametric hypersurfaces with four distinct principal curvatures in spheres
- New counterexamples to A. D. Alexandrov’s hypothesis
- A maximum principle for parabolic equations on manifolds with cone singularities
- Packing a planar convex body with three homothetical copies and inscribing relatively equilateral triangles
Keywords for this article
Steiner design;
flag-transitive group of automorphisms;
2-transitive permutation group
Articles in the same Issue
- Localization of automorphisms of some unbounded Levi degenerate algebraic hypersurfaces in ℂn
- Virtual and non-virtual algebraic Betti numbers
- The classification of flag-transitive Steiner 3-designs
- On surfaces with two apparent double points
- Halphen conditions and postulation of nodes
- Topological affine planes with affine connections
- The embedding of (0, 2)-geometries and semipartial geometries in AG(n, q)
- The geometry of isoparametric hypersurfaces with four distinct principal curvatures in spheres
- New counterexamples to A. D. Alexandrov’s hypothesis
- A maximum principle for parabolic equations on manifolds with cone singularities
- Packing a planar convex body with three homothetical copies and inscribing relatively equilateral triangles
