Results 31 to 40 of about 793 (200)

16-dimensional smooth projective planes with large collineation groups [PDF]

open access: yes, 1998
Erworben im Rahmen der Schweizer Nationallizenzen (http://www.nationallizenzen.ch)Smooth projective planes are projective planes defined on smooth manifolds (i.e.
Bödi, Richard
core   +1 more source

On rank 5 projective planes

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1984
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

On singular projective deformations of two second class totally focal pseudocongruences of planes

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1988
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

open access: yesInternational 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
doaj   +1 more source

Approximate Lie Symmetry Conditions of Autoparallels and Geodesics

open access: yesAbstract and Applied Analysis, Volume 2020, Issue 1, 2020., 2020
This paper is devoted to the study of approximate Lie point symmetries of general autoparallel systems. The significance of such systems is that they characterize the equations of motion of a Riemannian space under an affine parametrization. In particular, we formulate the first‐order symmetry determining equations based on geometric requirements and ...
Sameerah Jamal, Shi Liang Wu
wiley   +1 more source

Finding the Collineation Between two Projective Reconstructions [PDF]

open access: yes, 1999
International audienceThe problem of finding the collineation between two 3D projective reconstructions has been proved to be useful for a variety of tasks such as calibration of a stereo rig and 3D affine and/or Euclidean reconstruction.
Demirdjian, David   +2 more
core   +1 more source

Collineation varieties of tensors

open access: yes, 2023
In this article, we introduce the $k$-th collineation variety of a third order tensor. This is the closure of the image of the rational map of size $k$ minors of a matrix of linear forms associated to the tensor. We classify such varieties in the case of
Gesmundo, Fulvio, Keneshlou, Hanieh
core  

On collineation groups with block orbits [PDF]

open access: yes, 1993
Let G be a point-transitive collineation group of an affine plane of order n. In his book M. J. Kallaher conjectured that if GO has a block orbit of degree at least 2 for some affine point O then G contains a group of translations of order n2.
Hiramine, Yutaka
core   +1 more source

Translation planes of even order in which the dimension has only one odd factor

open access: yesInternational 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
doaj   +1 more source

Elementary Abelian 2-subgroups in an Autotopism Group of a Semifield Projective Plane

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2020
Elementary Abelian 2-subgroups in an Autotopism Group of a Semifield Projective Plane} We investigate the hypotheses on a solvability of the full collineation group for non-Desarguesian semifield projective plane of a finite order (the question 11.76 in ...
O. V. Kravtsova
doaj   +1 more source

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