Results 71 to 80 of about 737 (201)
Intransitive collineation groups of ovals fixing a triangle [PDF]
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]
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)
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]
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]
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
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]
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]
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]
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]
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

