Generalised quadrangles with a group of automorphisms acting primitively on points and lines
classification
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keywords
actingautomorphismsgeneralisedgrouplinespointsprimitivelythen
read the original abstract
We show that if G is a group of automorphisms of a thick finite generalised quadrangle Q acting primitively on both the points and lines of Q, then G is almost simple. Moreover, if G is also flag-transitive then G is of Lie type.
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