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Transitivities in Projective Planes

Published online by Cambridge University Press:  20 November 2018

T. G. Ostrom*
Affiliation:
Montana State University
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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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Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1957