Point-affine quadrangles


We give an axiomatic description of point-affine quadrangles as obtained by deleting a point star from a generalized quadrangle. We define a completion and observe that isomorphisms can be extended to isomorphisms between completions.

DOI Code: 10.1285/i15900932v20n1p21

Keywords: Generalized quadrangles; Affine generalized quadrangles; Elation quadrangles

Classification: 51A10; 51A50; 51E12; 51E14

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