Finite affine planes in projective spaces
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We classify all representations of an arbitrary affine plane A of order q in a projective space PG(d,q) such that lines of A correspond with affine lines and/or plane q-arcs and such that for each plane q-arc which corresponds to a line L of A the plane of PG(d,q) spanned by the q-arc does not contain the image of any point off L of A.
Mathematics Subject Classification (2000)05B25 05B05 51A30 51A45 51E15 51E20 51B99
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- S. E. Payne and J. A. Thas: Finite Generalized Quadrangles, Research Notes in Mathematics 110, Pitman Advanced Publishing Program, Boston/London/Melbourne, 1984; second edition in: EMS Series of Lectures in Mathematics, European Mathematical Society, 2009.Google Scholar
- J. A. Thas, K. Thas and H. Van Maldeghem: Translation Generalized Quadran-gles, World Scientific Publishing, Hackensack, 2007.Google Scholar