Results 71 to 80 of about 737 (201)

Intransitive collineation groups of ovals fixing a triangle [PDF]

open access: yes, 2003
We investigate collineation groups of a finite projective plane of odd order fixing an oval and having two orbits on it, one of which is assumed to be primitive.
BONISOLI, Arrigo   +4 more
core   +1 more source

The Collineation Group of the Veblen-Wedderburn Plane of Order Nine [PDF]

open access: yes, 1970
In this paper we prove that the order of the collineation group of the Veblen-Wedderburn plane of order nine is 311,040. This result was stated by Hall [3] in 1943 and proved by Pierce [9] in 1964.
Frederick W. Stevenson
core   +1 more source

On the symmetric block design with parameters (153, 57, 21)

open access: yesLe Matematiche, 2009
In this paper it is proved that:A) Up to isomorphism and duality there are exactly two possible orbital structures for a putative symmetric block design with parameters (153, 57, 21) constructed using the Frobenius group F_{17·16}B) Up to isomorphism and
Rexhep Gjergji
doaj  

On the fixed point of a collineation of the real projective plane [PDF]

open access: yes, 2007
Using the "extended Euclidean plane" model we prove the existence of the fixed point of a collineation of the real projective plane. At first we obtain the collineation as a product of a reflection in a line, a reflection in a point and a central-axial ...
Krisztin Német, István
core  

The translation planes of order q2 that admit SL(2, q) as a collineation group. I. Even order [PDF]

open access: yes, 1984
Let π be a translation plane of even order q2 that admits SL(2, q) as a collineation group.
Johnson, N.L, Foulser, D.A
core   +1 more source

Distributed three-dimensional affine formation maneuver control for multiple autonomous underwater vehicles

open access: yesZhongguo Jianchuan Yanjiu
ObjectivesTo improve the ability of autonomous underwater vehicle (AUV) formations to perform tasks in complex obstacle scenarios, a distributed three-dimensional affine formation shape maneuver control method is proposed for multi-AUV formations ...
Mingqi YAO   +4 more
doaj   +1 more source

Quasiregular collineation groups [PDF]

open access: yes, 1969
Gli autori studiano la struttura delle orbite dei gruppi di collineazioni quasiregolari dei piani grafici finiti. Si ottengono dei limiti per l'ordine del gruppo in relazione al numero delle rette e dei punti uniti e viene discussa la struttura delle ...
Ganley, Michael J., Piper, Fred C.
core  

ON THE STRUCTURE OF COLLINEATION GROUPS OF FINITE PROJECTIVE PLANES [PDF]

open access: yes, 1973
The study of a collineation group F of a finite projective plane SP splits into two parts: the determination first of the abstract structure of F, and then of the manner in which F acts on 3P.
M. Kantorf
core  

Affine planes admitting a collineation group with a transitive action on the line at infinity [PDF]

open access: yes, 2010
The affine planes admitting a collineation group with a transitive action on the line at infinity are investigated and an essentially complete classification is achieved when the group is almost simple.
Montinaro, Alessandro   +3 more
core   +1 more source

Proof of the prime power conjecture for projective planes of order $n$ with Abelian collineation groups of order $n^2$ [PDF]

open access: yes, 2002
Let be an abelian collineation group of order of a projective plane of order . We show that must be a prime power, and that the -rank of is at least if for an odd prime
Schmidt, B.   +2 more
core   +1 more source

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