Results 41 to 50 of about 844 (181)
Irreducible collineation groups with two orbits forming an oval
, 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 +5 more
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Translation planes of order $q2$ admitting collineation groups of order $q3u$ preserving a parabolic unital [PDF]
, 2006 The set of translation planes of order $q2$ that admit collineation groups of order $q3u$, where u is a prime p-primitive divisor of $q2-1$, consists of exactly the Desarguesian plane, assuming that the group does not contain a translation subgroup of ...
Johnson, Norman L., Jha, Vikram
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On the symmetric block design with parameters (153, 57, 21)
Le 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
Blocking sets with flag transitive collineation groups
, 1991 Blocking sets with flag transitive collineation ...
Lynn Batten (13081779)
core
, 2006 Publicación ISIIt is shown that for every semifield spread in PG(3, q) and for every parabolic Buekenhout-Metz unital, there is a collineation group of the associated translation plane that acts transitively and regularly on the affine points of the ...
Johnson, Norman L. +3 more
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Zhongguo Jianchuan YanjiuObjectivesTo 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
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Affine planes admitting a collineation group with a transitive action on the line at infinity
, 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.
Alessandro Montinaro +3 more
core +1 more source
Web application for teaching of axial affinity and perspective collineation
, 2013 This work is intended for high school and university students and their teachers who want to learn or improve their knowledge about affine transformations and perspective collineation.
Plichtová, Petra
core
Die Oktavenebene als Translationsebene mit großer Kollineationsgruppe [PDF]
, 2013 The Cayley Plane as a Translation Plane with a Large Collineation Group. It is shown that the affine plane over the Cayley numbers is the only 16-dimensional locally compact topological translation plane having a collineation group of dimension at least ...
Hähl, Hermann
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Notes on Cooperstein Ovoids in Finite Geometries of Type 𝖤6,1
MathematicsA Cooperstein ovoid is a set of q8+q4+1 pairwise non-collinear points in the Lie incidence geometry E6,1(q). They were introduced by Cooperstein twenty-six years ago, motivated by the fact that possible non-existence of them would imply non-existence of ...
Hendrik Van Maldeghem
doaj +1 more source