
doi: 10.1007/bf00181440
We prove the following result. Let S be a Steiner triple system embedded in the projective plane П of order n, such that r=n+1, and such that there exists a line l of Π exterior to S. Let G be a collineation group of Π fixing S, fixing l and transitive on the blocks of S. Then n=3 and S=Π∖l=AG(2, 3), and G contains the group of translations of S with respect to l.
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