Variations on a theme of Cofman


The paper provides a survey on the known results on the collineation groups acting on a line of a projective plane with some transitivity properties. As a new result, it is shown that a group which is faithful and primitive of rank 3 on a line of a projective plane is 1-dimensional semilinear.

DOI Code: 10.1285/i15900932v29n1supplp11

Projective plane; collineation group; orbit

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