Abstract
Relying on the classification of the finite 3-homogeneous permutation groups, we easily prove in this chapter that there are no non-trivial flag-transitive Steiner 6-designs. In addition, we state in this context an interesting conjecture of P. J. Cameron and C. E. Praeger [29, Conj. 1.2] on block-transitive 6-designs.
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© 2009 Birkhäuser Verlag AG
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(2009). The Non-Existence of Flag-transitive Steiner 6-Designs. In: Flag-transitive Steiner Designs. Frontiers in Mathematics. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0002-6_10
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DOI: https://doi.org/10.1007/978-3-0346-0002-6_10
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0346-0001-9
Online ISBN: 978-3-0346-0002-6
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