References
André, J.: Über Perspektivitäten in endlichen projektiven Ebenen. Arch. Math.6, 29–32 (1954).
André, J.: Projektive Ebenen über Festkörpern. Math. Z.62, 137–160 (1954).
Baer, R.: The fundamental theorems of elementary geometry. Trans. Amer. Math. Soc.56, 94–129 (1944).
Baer, R.: Projectivities with fixed points on every line of the plane. Bull. Amer. Math. Soc.52, 273–286 (1946).
Baer, R.: Projectivities of finite projective planes. Amer. J. Math.69, 653–684 (1947).
Burnside, W.: Theory of groups of finite order. Cambridge 1911.
Dembowski, H. P.: Verallgemeinerungen von Transitivitätsklassen endlicher projektiver Ebenen. Math. Z.69, 59–89 (1958).
Gleason, A. M.: Finite Fano planes. Amer. J. Math.78, 797–807 (1956).
Hall, M.: Projective planes. Trans. Amer. Math. Soc.54, 229–277 (1943).
Hughes, D. R.: Generalized incidence matrices over group algebras. Illinois J. Math.1, 545–551 (1957).
Hughes, D. R.: Collineations and generalized incidence matrices. Trans. Amer. Math. Soc.86, 284–296 (1957).
Ostrom, T. G.: Double transitivity in finite projective planes. Canad. J. Math.8, 563–567 (1956).
Ostrom, T. G.: Transitivities in projective planes. Canad. J. Math.9, 389–399 (1957).
Parker, E. T.: On collineations of symmetric designs. Proc. Amer. Math. Soc.8, 350–351 (1957).
Pickert, G.: Projektive Ebenen. Heidelberg 1955.
San Soucie, R. L.: Right alternative division rings of characteristic two. Proc. Amer. Math. Soc.6, 291–296 (1955).
Skornyakov, L. A.: Right alternative fields. [Russian.] Izv. Akad. Nauk SSSR., Ser. Mat.15, 177–184 (1951).
Wagner, A.: On projective planes transitive on quadrangles. J. Lond. Math. Soc.33, 25–33 (1958).
Wagner, A.: On perspectivities of finite projective planes. Math. Z.71, 113–123 (1959).
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Ostrom, T.G., Wagner, A. On projective and affine planes with transitive collineation groups. Math Z 71, 186–199 (1959). https://doi.org/10.1007/BF01181398
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DOI: https://doi.org/10.1007/BF01181398