Eigenschaften von vollstaendigen Systemen orthogonaler lateinischer Quadrate,die bestimmte affine Ebenen repraesentieren |
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Authors: | Peter Hohler |
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Institution: | (1) Hasenweid 3, GH-4600 Olten |
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Abstract: | A set of n-1 mutually orthogonal Latin squares of order n is a model of an affine plane with exactly n points on a line and every affine plane with n points on a line can be represented by n-1 mutually orthogonal Latin squares (1]). In this paper we investigate properties of finite planes through the complete set of mutually orthogonal Latin squares representing the plane and mainly — vice versa — properties of the squares representing a fixed plane. The results are based on the geometrical configurations which hold in the planes. For presumed definitions and theorems which are not specially referred to see 4], 7], 3] or 6]. |
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