Abstract
If a group G acts on a finite projective plane to make it a plane of type (4, m) and if G/K is the related 2-transitive representation of G then either G/K has a normal regular subgroup or PSL(2, q)⫃G/K⫃PΓL(2, q) for some prime power q.
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Lorimer, P. On projective planes of type (4, m). Geom Dedicata 15, 323–327 (1984). https://doi.org/10.1007/BF00211701
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DOI: https://doi.org/10.1007/BF00211701