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Ovals in commutative semifield planes

Archiv Der Mathematik, 1997
A translation plane coordinatized by a semifield of odd order admits an orthogonal polarity whose absolute points form an oval \(\Omega\) (necessarily parabolic, having one point on the line at infinity). The collineation group of the plane which stabilizes such an \(\Omega\), acts 2-transitively on the affine points of \(\Omega\). In this paper, it is
Gábor Korchmáros
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Parabolic unitals in a family of commutative semifield planes

open access: yesDiscrete Mathematics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yue Zhou
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Derived semifield planes with affine elations

Journal of Geometry, 1982
Derived semifield planes admitting non trivial affine elations with more than one centre are examined in detail and several new examples of such plantes are constructed. A new characterization of the Hall planes of even order among derived semifield planes is also given.
Mauro Biliotti
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A note on the Boerner-lantz semifield planes

Journal of Geometry, 1992
Für die von \textit{V. Boerner-Lantz} [J. Geom. 27, 112-118 (1986; Zbl 0604.12020)] angegebene Konstruktion endlicher distributiver Quasikörper (= semifield) wird die Anzahl der Isomorphietypen so erhaltbarer projektiver Ebenen vorgegebener Ordnung \(p^ 4\) bestimmt: Für \(p\equiv 1\bmod 4\) ist diese Anzahl \(1/4(p-1)\), für \(p\equiv 3\bmod 4\) ist ...
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