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arxiv: 2403.16822 · v2 · pith:SESRWT3E · submitted 2024-03-25 · math.CO · math.GR

Locally primitive block designs

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classification math.CO math.GR
keywords groupprimitivedesignlocallyactingactionsadmittingaffine
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A locally primitive 2-design is a 2-design admitting an automorphism group $G$ with primitive local actions. It is proved that $G$ is point-primitive, and either $G$ is an almost simple group, or $G$ acting on the points is an affine group.

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