A note on the Cameron-Praeger conjecture

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Abstract

The Cameron-Praeger conjecture stands as a central problem at the intersection of group theory and combinatorial design, and has inspired sustained research by mathematicians worldwide for decades. In this paper, we took a step forward in the proof of the Cameron-Praeger conjecture. We studied a special case of the famous Cameron-Praeger conjecture in design theory and proved that there are no block-transitive 6-(v,k, 2) designs with k dividing v.

Keywords

Cameron-Praeger conjecture / block-transitive / Camina-Gagen condition / 6-designs / 3-homogeneous permutation groups

CHANGE HISTORY

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