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The Nonexistence of Certain Finite Projective Planes

Published online by Cambridge University Press:  20 November 2018

R. H. Bruck  and
H. J. Ryser
R. H. Bruck
Affiliation:
The University of Wisconsin
H. J. Ryser
Affiliation:
The University of Wisconsin
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A projective plane geometry π is a mathematical system composed of undefined elements called points and undefined sets of points (at least two in number) called lines, subject to the following three postulates:

(P1) Two distinct points are contained in a unique line.

(P2) Two distinct lines contain a unique common point.

(P3) Each line contains at least three points.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 1 , Issue 1 , 01 February 1949 , pp. 88 - 93
Copyright
Copyright © Canadian Mathematical Society 1949

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