Results 91 to 100 of about 645 (110)
On semifield planes of order 162
Siberian Mathematical Journal, 1996 Using methods from \textit{H. Huang} and \textit{N. L. Johnson} [Discrete Math. 80, No. 1, 69-79 (1990; Zbl 0699.51003)], the authors determine all semifields planes of order \(16^2\) with \(GF(16)\) contained in the kernel such that the linear translation complement contains a subgroup of order \(2 \cdot 16^2\) (these planes admit a Baer involution ...
N. D. Podufalov +3 more
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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 ...
Minerva Cordero
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Semifield planes with a transitive autotopism group
Archiv der Mathematik, 1994 Let \(\pi\) be a non-Desarguesian semifield plane of order \(p^ n\), where \(p\) is an odd prime number and \(n \geq 3\). Let \(G\) be the autotopism group of \(\pi\) relative to an autotopism triangle \(\Delta\). We prove that if the group \(\overline G\) induced by \(G\) on a side of \(\Delta\) is transitive on the non-vertex points of that side ...
Minerva Cordero, Ra�l Figueroa
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Heisenberg groups, semifields, and translation planes
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Norbert Knarr, Markus Stroppel
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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, Giampaolo Menichetti
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On central collineations of derived semifield planes
Journal of Geometry, 1978 LetG denote the collineation group generated by the set of all affine central collineations in a derived semifield plane. We present a characterization of the Hall planes in terms of the order ofG. This essentially allows the extension of the theorems of Kirkpatrick and Rahilly on generalized Hall planes to arbitrary derived semifield planes.
Norman L. Johnson
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Nuclear fusion in finite semifield planes
advg, 2004 Abstract We study the subplanes of finite semifield planes that are coordinatizable by subfields F of some semifield D such that F lies in at least two of the three seminuclear fields N ℓ(D), Nm (D), and Nr (D).
Vikram Jha, Norman L. Johnson
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The autotopism group of ap-primitive semifield plane of orderq 4
, 1996 N. D. Podufalov, I. V. Busarkina
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Semifield planes of order $p\sp 4$ that admit a $p$-primitive Baer collineation
, 1991 Minerva Cordero
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