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A Class of Non-Desarguesian Projective Planes

Published online by Cambridge University Press:  20 November 2018

D. R. Hughes
D. R. Hughes*
Affiliation:
The Ohio State University
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In (7), Veblen and Wedclerburn gave an example of a non-Desarguesian projective plane of order 9; we shall show that this plane is self-dual and can be characterized by a collineation group of order 78, somewhat like the planes associated with difference sets. Furthermore, the technique used in (7) will be generalized and we will construct a new non-Desarguesian plane of order p2n for every positive integer n and every odd prime p.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 9 , 1957 , pp. 378 - 388
Copyright
Copyright © Canadian Mathematical Society 1957

References

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