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Completions of Quadrangles in Projective Planes

Published online by Cambridge University Press:  20 November 2018

R. B. Killgrove*
Affiliation:
San Diego State College San Diego, California
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This paper discusses projective planes from the viewpoint of their classification into singly-generated and non-singly-generated planes. (Singly-generatedness, a property explicit in Hall (6) and Wagner (19), and implicit in Hughes (10), is defined in Section 5.) The elements (points and lines) of a singly-generated plane are expressible in four basic points called a quadrangle. A t'completion procedure" enables us to obtain expressions for the elements of a plane.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1964

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