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On perspectivities of finite projective planes. (English) Zbl 0085.14301

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[1] André, J.: Über Perspektivitäten in endlichen projektiven Ebenen. Arch. Math.6, 29-32 (1954). · Zbl 0056.38504 · doi:10.1007/BF01899208
[2] André, J.: Projektive Ebenen über Fastkörpern. Math. Z.62, 137-160 (1955). · Zbl 0064.14402 · doi:10.1007/BF01180628
[3] Baer, R.: Projectivities with fixed points on every line of the plane. Bull. Amer. Math. Soc.52, 273-286 (1946). · Zbl 0061.30810 · doi:10.1090/S0002-9904-1946-08557-2
[4] Baer, R.: Polarities in finite projective planes. Bull. Amer. Math. Soc.52, 77-93 (1946). · Zbl 0060.32308 · doi:10.1090/S0002-9904-1946-08506-7
[5] Dembowski, H. P.: Verallgemeinerungen von Transitivitätsklassen endlicher projektiver Ebenen. Math. Z.69, 59-89 (1958). · Zbl 0078.12904 · doi:10.1007/BF01187393
[6] Dickson, L. E.: On finite algebras. Nachr. Ges. Wiss. Göttingen, Math.-phys. Kl.1905, 358-394. · JFM 36.0138.03
[7] Gleason, A. M.: Finite Fano planes. Amer. J. Math.78, 797-807 (1956). · Zbl 0072.38001 · doi:10.2307/2372469
[8] Hughes, D. R.: Generalized incidence matrices over group algebras. Illinois J. Math.1, 545-551 (1957). · Zbl 0084.37002
[9] Hughes, D. R.: Collineations and generalized incidence matrices. Trans. Amer. Math. Soc.86, 284-296 (1957). · Zbl 0078.34102 · doi:10.1090/S0002-9947-1957-0093730-4
[10] Ostrom, T. G.: Ovals, dualities, andDesargues’s theorems. Canad. J. Math.7, 417-431 (1955). · Zbl 0066.14002 · doi:10.4153/CJM-1955-046-7
[11] Ostrom, T. G.: Double transitivity in finite projective planes. Canad. J. Math.8, 563-567 (1956). · Zbl 0072.38002 · doi:10.4153/CJM-1956-061-9
[12] Ostrom, T. G., andA. Wagner: On projective and affine planes with transitive collineation groups. To appear in Math. Z. · Zbl 0085.14302
[13] Parker, E. T.: On collineations of symmetric designs. Proc. Amer. Math. Soc.8, 350-351 (1957). · Zbl 0091.32502 · doi:10.1090/S0002-9939-1957-0086319-X
[14] Pickert, G.: Projektive Ebenen. Heidelberg 1955. · Zbl 0066.38707
[15] Qvist, B.: Some remarks concerning curves of the second degree in a finite plane. Ann. Acad. Sci. Fennicae (A.I.)134, 12pp. (1952). · Zbl 0049.10801
[16] Segre, B.: Ovals in a finite projective plane. Canad. J. Math.7, 414-416 (1955). · Zbl 0065.13402 · doi:10.4153/CJM-1955-045-x
[17] Veblen, O., andJ. H. M. Wedderburn: Non-desarguesian and non-pascalian geometries. Trans. Amer. Math. Soc.8, 379-388 (1907). · JFM 38.0502.01 · doi:10.1090/S0002-9947-1907-1500792-1
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