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arXiv · 1302.4502

An Algorithm for constructing Hjelmslev planes

Joanne L. Hall·Asha Rao
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Abstract

Projective Hjelmslev planes and Affine Hjelmselv planes are generalisations of projective planes and affine planes. We present an algorithm for constructing a projective Hjelmslev planes and affine Hjelsmelv planes using projective planes, affine planes and orthogonal arrays. We show that all 2-uniform projective Hjelmslev planes, and all 2-uniform affine Hjelsmelv planes can be constructed in this way. As a corollary it is shown that all 2-uniform Affine Hjelmselv planes are sub-geometries of 2-uniform projective Hjelmselv planes.

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Joanne L. Hall, Asha Rao. 2015-11-04. An Algorithm for constructing Hjelmslev planes. https://doi.org/10.1007/978-3-319-17729-8_11

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