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Cubic Extensions of Flag-Transitive Planes, I. Even Order
The collineation groups of even order translation planes which are cubic extensions of flag-transitive planes are determined.
Yutaka Hiramine +2 more
doaj +1 more source
On symplectic semifield spreads of PG(5,q2), q odd [PDF]
We prove that there exist exactly three non-equivalent symplectic semifield spreads of PG ( 5 , q2), for q2> 2 .38odd, whose associated semifield has center containing Fq.
Marino, Giuseppe, Pepe, Valentina
core +1 more source
Generalizations of the Johnson parallelisms are given using an index m subgroup of a Pappian central collineation group. The parallelisms, called m-parallelisms, are constructed and the isomorphisms classes are discussed.
Norman L. Johnson, Rolando Pomareda
doaj +1 more source
Conformal vector fields on doubly warped product manifolds and applications [PDF]
In this article, we present a complete study of two disjoint classes of conformal vector fields on doubly warped product manifolds as well as on doubly warped space-times.
El-Sayied, H. K. +2 more
core +3 more sources
Translation planes of odd order and odd dimension
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
doaj +1 more source
Opposition diagrams for automorphisms of large spherical buildings [PDF]
Let $\theta$ be an automorphism of a thick irreducible spherical building $\Delta$ of rank at least $3$ with no Fano plane residues. We prove that if there exist both type $J_1$ and $J_2$ simplices of $\Delta$ mapped onto opposite simplices by $\theta ...
Parkinson, J., Van Maldeghem, H.
core +3 more sources
In this paper we continue the study of projective planes which admit collineation groups of low rank (Kallaher [1] and Bachmann [2,3]). A rank 5 collineation group of a projective plane ℙ of order n≠3 is proved to be flag-transitive. As in the rank 3 and
Otto Bachmann
doaj +1 more source
If in a complex projective plane a point P , with coordinate vector x , corresponds to a point p *, with coordinate vector x *, under a non-singular collineation, then
openaire +1 more source
On singular projective deformations of two second class totally focal pseudocongruences of planes
Let C:L→L¯ be a projective deformation of the second order of two totally focal pseudocongruences L and L¯ of (m−1)-planes in projective spaces Pn and P¯n, 2m−1 ...
Ludmila Goldberg
doaj +1 more source
The geometry of GL(2,q) in translation planes of even order q2
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
doaj +1 more source

