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Combinatorica

, Volume 37, Issue 2, pp 283–311 | Cite as

Finite affine planes in projective spaces

Original Paper
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Abstract

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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Copyright information

© János Bolyai Mathematical Society and Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Department of MathematicsGhent UniversityGhentBelgium

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