Nonexistence of block-transitive 6-designs

Abstract

In this paper, we prove that there are no nontrivial block-transitive 6-designs for k ⩽ 100. This supports the long-standing conjecture of Cameron and Praeger that there are no nontrivial block-transitive 6-designs.

Keywords

Cameron-Praeger conjecture / block-transitive design / affine group / almost simple group

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