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A characterization of the generalized twisted field planes of characteristic ≥5

✍ Scribed by Raúl Figueroa


Publisher
Springer
Year
1994
Tongue
English
Weight
615 KB
Volume
50
Category
Article
ISSN
0046-5755

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A characterization of Thalesian orthogon
✍ Ralph-Hardo Schulz 📂 Article 📅 1982 🏛 Springer 🌐 English ⚖ 292 KB

In an affine plane over a field K, any Thalesian orthogonality relation is equivalent to ±d for some deK\{0}, where ±d denotes the relation with constant of orthogonality d (i.e., after suitable coordinatization the slopes m, m\* E K\ {0} of orthogonal lines satisfy m-m\* = d) (cf. [1], [5]). In the