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Locally primitive block designs
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classification
math.COmath.GR
keywords
groupprimitivedesignlocallyactingactionsadmittingaffine
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abstract
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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