Results 61 to 70 of about 737 (201)

Riemann Solitons and Ricci Bi-Conformal Vector Fields on 4-Dimensional Oscillator Group

Mathematics
We consider Riemann soliton vector fields and Ricci bi-conformal vector fields on the oscillator group. We prove that the oscillator group admits Riemann solitons. Subsequently, we provide a complete classification of all Ricci bi-conformal vector fields
Bang-Yen Chen, Foued Aloui, Majid Ali Choudhary, Mohammad Nazrul Islam Khan   +3 more
doaj   +1 more source

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
doaj   +1 more source

Collineation groups of the smallest Bol 3-nets [PDF]

, 1994
Some associativity properties of a loop can be interpreted as certain closure configuration of the corresponding 3-net. If was known that the smallest non-associative loops with the so called left Bol property have order 8.In this paper we determine the ...
Nagy, Gábor
core   +1 more source

Irreducible collineation groups with two orbits forming an oval [PDF]

, 2007
Let G be a collineation group of a finite projective plane P of odd order fixing an oval Ω. We investigate the case in which G has even order, has two orbits Ω_0 and Ω_1 on Ω, and the action of G on Ω_0 is primitive.We show that if G is irreducible ...
AGUGLIA A, BONISOLI, Arrigo, G. Korchmaros, KORCHMAROS, Gabor, A. Aguglia, Bonisoli, A., AGUGLIA, Angela, Aguglia, A., Korchmáros, G., BONISOLI A   +9 more
core   +1 more source

The nonexistence of projective planes of order 12 with a collineation group of order 16 [PDF]

, 2004
In this article, we prove that there is no projective plane of order 12 admitting a collineation group of order 16 by showing the nonexistence of some orthogonal arrays OA(72,12,6,2).
Suetake, Chihiro
core   +1 more source

Irreducible collineation groups fixing a hyperoval [PDF]

, 2002
Let G be an irreducible collineation group of a finite projective plane P of even order n congruent to 0 mod 4. Our goal is to determine the structure of G under the hypothesis that G fixes a hyperoval W of P. We assume |G| congruent to 0 mod 4. If G
Gábor Korchmáros, BONISOLI, Arrigo, G. Korchmaros, KORCHMAROS, Gabor, Arrigo Bonisoli, BONISOLI A   +5 more
core   +1 more source

Dihedral and Quaternion Autotopism Subgroups of Semifield Projective Planes of Order $p^4$

Известия Иркутского государственного университета: Серия "Математика"
Dihedral and Quaternion Autotopism Subgroups of Semifield Projective Planes of Order $p^4$}In 1959, D.R.~Hughes conjecture that the full collineation group of any finite non-Desarguesian semifield projective plane is solvable (see also the question 11.76
O. V. Kravtsova, D. S. Skok
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The Flag-Transitive Collineation Groups of the Finite Desarguesian Affine Planes [PDF]

, 1964
Let π be the Desarguesian affine plane of order n = pr, for p a prime and r a positive integer. A collineation group G of π is defined to be flag-transitive on π if G is transitive on the set of incident point-line pairs, or flags, of π.
David A. Foulser
core   +1 more source

On Finite Collineation Groups of F₅ [PDF]

, 1969
Our aim in this paper is to fill one gap left in (1) and to prove that if H is a finite collineation group of F5, the free plane generated by a finite open configuration of rank 9, then |H | ≦ 12.
Reuben Sandler
core   +1 more source

VISUAL FEEDBACK IN PROBLEMS OF MOVING OBJECTS CONTROL

Міжнародний науково-технічний журнал "Проблеми керування та інформатики", 2006
Possibility of using planar collineation parameters for forming control actions in visual control systems of moving objects is studied. Through examples of solving problems of attitude control, translation motion control and stabilization of screw ...
D.V. Lebedev
doaj