Results 21 to 30 of about 915,976 (286)
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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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 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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Covering the Plane with Translates of a Triangle [PDF]
Discrete & Computational Geometry, 2009 The author proves that the minimum density of a covering of the plane by translates of a triangle is 3/2. This establishes that triangles are the least economical sets for translative plane covering.
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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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Matrix spread sets of p-primitive semifield planes
International Journal of Mathematics and Mathematical Sciences, 1997 In this article we present the matrix spread sets of the p-primitive planes of order p4 where p=3,5,7,11.
M. Cordero
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