Pathological projective planes: Associate affine planes

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1974 English Publisher:Springer Science and Business Media LLCJournal:Journal of Geometry, volume 4, pages 161-165 (issn: 0047-2468, eissn: 1420-8997,

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Authors: Mendelsohn, E.;

doi: 10.1007/bf01959025

Pathological projective planes: Associate affine planes

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Abstract

In [7] the author showed the existence of projective plane pathological with respect to the collineation groups of its sub and quotient planes. Similar pathologies are obtainable with respect to collineation groups of associated affine planes. (i.e. the affine planes obtained by distinguishing a line as the line at infinity) as expressable in the following theorem.

Related Organizations

University of Toronto
Canada

Keywords

Combinatorial structures in finite projective spaces, Affine analytic geometry

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