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Transitivities in Projective Planes
Published online by Cambridge University Press: 20 November 2018
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A perspectivity in a projective plane is a collineation which leaves some line pointwise fixed. Baer (4) has considered the coordinatization of planes which admit certain groups of perspectivities. André (1;2;3) has made an extensive study of the Veblen-Wedderburn plane in terms of its perspectivities. The author has shown (7) that finite doubly transitive planes are Desarguesian if the number of points on a line is n + 1 where n is an odd non-square.
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- Research Article
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- Copyright © Canadian Mathematical Society 1957
References
1.
André, J., Ueber nicht-Desarguesche Ebene mit transitiver Translationsgruppe, Math. Z., 60 (1954), 156–186.Google Scholar
2.
André, J., Ueber Perspektivitâten in endlichen projektiven Ebenen, Arch. Math., 6 (1955), 29–32.Google Scholar
7.
Ostrom, T. G., Double transitivity infinite projective planes, Can. J. Math., 8 (1956), 563–567.Google Scholar
8.
Ostrom, T. G., Ovals, dualities, and Desargues's theorem, Can. J. Math., 7 (1955), 417–431.Google Scholar