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On the Cameron-Praeger Conjecture
Huber, Michael...

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On the Cameron-Praeger Conjecture by Huber, Michael ( Author )
Lemonjar Open Access
N.A
21-04-2009
This paper takes a significant step towards confirming a long-standing and far-reaching conjecture of Peter J. Cameron and Cheryl E. Praeger. They conjectured in 1993 that there are no non-trivial block-transitive 6-designs. We prove that the Cameron-Praeger conjecture is true for the important case of non-trivial Steiner 6-designs, i.e. for 6-(v,k,λ) designs with λ=1, except possibly when the group is $P\GammaL(2,p^e)$ with p=2 or 3, and e is an odd prime power.
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English
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https://arxiv.org/abs/0904.3239
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