Results 11 to 20 of about 29,075 (258)
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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Translation planes of even order in which the dimension has only one odd factor
International Journal of Mathematics and Mathematical Sciences, 1980 Let G be an irreducible subgroup of the linear translation complement of a finite translation plane of order qd where q is a power of 2. GF(q) is in the kernel and d=2sr where r is an odd prime. A prime factor of |G| must divide (qd+1)∏i=1d(qi−1).
T. G. Ostrom
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The geometry of GL(2,q) in translation planes of even order q2
International Journal of Mathematics and Mathematical Sciences, 1978 In this article we show the following: Let π be a translation plane of even order q2 that admits GL(2,q) as a collineation group. Then π is either Desarguesian, Hall or Ott-Schaeffer.
N. L. Johnson
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Collineation groups of translation planes of small dimension
International Journal of Mathematics and Mathematical Sciences, 1981 A subgroup of the linear translation complement of a translation plane is geometrically irreducible if it has no invariant lines or subplanes. A similar definition can be given for geometrically primitive.
T. G. Ostrom
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Translation planes of dimension two and characteristic two
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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On collineation groups of translation planes of order q4
International Journal of Mathematics and Mathematical Sciences, 1986 Let P be an affine translation plane of order q4 admitting a nonsolvable group G in its translation complement. If G fixes more than q+1 slopes, the structure of G is determined.
V. Jha, N. L. Johnson
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Translation planes of odd order and odd dimension
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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Surface Reconstruction Adopting Laser Plane of Linear Path System Registered by Parallel Constraint
IEEE Access, 2018 A surface reconstruction technology, which is contributed from the parallel constraint between two laser planes, is introduced and achieved by a laser projector guided by a linear path system.
Guan Xu +3 more
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Classification of space-like translation surfaces in the 3-dimensional Lorentz Heisenberg group H3 [PDF]
Arab Journal of Mathematical Sciences, 2023 Purpose – In the Lorentz Heisenberg space H3 endowed with flat metric g3, a translation surface is parametrized by r(x, y) = γ1(x)*γ2(y), where γ1 and γ2 are two planar curves lying in planes, which are not orthogonal.
Rafik Medjati +2 more
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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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