Semifield plane - Open Access .click

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An oval partition of the central units of certain semifield planes

Discrete Mathematics, 1996
Let the translation plane \(\pi\) be coordinatised by the commutative semified \((D,+, \circ)\) of even order \(q^N\) and assume that the middle nucleus of \(D\) is isomorphic to \(GF(q)\). An affine point \(I\) of \(\pi\) not on the coordinate axes is called a central unit if the semifield obtained from \(D\) by recoordinatising \(\pi\) with \(I\) as ...
Vikram Jha, Gregory P. Wene
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Matrix spread sets of p‐primitive semifield planes [PDF]

International Journal of Mathematics and Mathematical Sciences, 1995
In this article we present the matrix spread sets of the p‐primitive planes of order p4 where p = 3, 5, 7, 11.
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On some new classes of semifield planes

Osaka Journal of Mathematics, 1993
It was shown by \textit{Y. Hiramine, M. Matsumoto} and \textit{T. Oyama} [Osaka J. Math. 24, 123-137 (1987; Zbl 0646.51006)] that with every translation plane of order \(q^ 2\) whose kernel contains \(GF(q)\) one can associate a translation plane of order \(q^ 4\) whose kernel contains \(GF(q^ 2)\). The authors investigate the semifield planes obtained
Cordero, Minerva, Figueroa, R.
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Transition planes constructed from semifield planes [PDF]