On some hyperbolic planes from finite projective planes

Let Π=(P,L,I) be a finite projective plane of order n, and let Π′=(P′,L′,I′) be a subplane of Π with order m which is not a Baer subplane (i.e., n≥m2+m). Consider the substructure Π0=(P0,L0,I0) with P0=P\{X∈P|XIl,  l∈L′}, L0=L\L′ where I0 stands for the restriction of I to P0×L0. It is shown that ev...

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Bibliographic Details
Main Author: Basri Celik
Format: Article
Language:English
Published: Hindawi Limited 2001-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171201006184