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Dual Codes of Translation Planes
European Journal of Combinatorics, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Clark, K.L., Key, J.D., de Resmini, M.J.
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Translation planes of odd order and odd dimension [PDF]
International Journal of Mathematics and Mathematical Sciences, 1979 The author considers one of the main problems in finite translation planes to be the identification of the abstract groups which can act as collineation groups and how those groups can act.
T. G. Ostrom
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Transposed translation planes [PDF]
Proceedings of the American Mathematical Society, 1975 A detailed study of the transposed translation planes which are also given by dual spreads is made using the matrix representation of translation planes.
D. M. Maduram
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Translation planes of dimension two and characteristic two [PDF]
International Journal of Mathematics and Mathematical Sciences, 1983 This article discusses translation planes of dimension two and characteristic two. Let G be a subgroup of the linear translation complement of such a plane π. The nature of G and its possible action on π are investigated.
N. L. Johnson, T. G. Ostrom
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Quasifields of symplectic translation planes
Journal of Combinatorial Theory, Series A, 2009 Let \(V\) be a vector space over the field \(F\) and let \(\Sigma\) be a spread on \(V\), i.e.\ a covering of \(V\) by a collection of mutually complementary subspaces. If every element of \(\Sigma\) is totally isotropic w.r.t a non-degenerate symplectic bilinear form \(S : V\times V \rightarrow F\), then \(\Sigma\) is called a symplectic spread ...
Knarr, N.
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Translation planes of order 23^2
Contributions to Discrete Mathematics, 2014 We give a complete classication of translation planes of order 23^2 whose translation complement contains a subgroup G such that the quotient group G modulo scalars is isomorphic to A_6. Up to isomorphisms, there are exactly 23 such planes and six of them have a larger translation complement being modulo scalars isomorphic to S_6.
ABATANGELO, Vito +2 more
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Translation complements of C-planes: (IV) [PDF]
Manuscripta Mathematica, 1987 Narayana Rao, Rodabaugh, Wilke and Zemmer constructed a new class of finite translation planes from exceptional near-fields described by Dickson and Zassenhaus. These planes referred to as C-planes are not coordinatized by the generalized André systems. In this paper we compute the translation complement of the C-plane corresponding to the C-system III–
Narayana Rao, M. L. +2 more
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The nuclei and other properties of p-primitive semifield planes
International Journal of Mathematics and Mathematical Sciences, 1992 In this article the nuclei of p-primitive semifield planes are studied. The behavior of this class of planes under the operations of derivation, transposition and dualization is also analyzed.
M. Cordero
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A characterization of the desarguesian planes of order q2 by SL(2,q)
International Journal of Mathematics and Mathematical Sciences, 1983 The main result is that if the translation complement of a translation plane of order q2 contains a group isomorphic to SL(2,q) and if the subgroups of order q are elations (shears), then the plane is Desarguesian. This generalizes earlier work of Walker,
D. A. Foulser +2 more
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Effects of motion paradigm on human perception of tilt and translation
Scientific Reports, 2022 The effect of varying sinusoidal linear acceleration on perception of human motion was examined using 4 motion paradigms: off-vertical axis rotation, variable radius centrifugation, linear lateral translation, and rotation about an earth-horizontal axis.
Gilles Clément +3 more
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