Results 1 to 10 of about 140 (122)
Classification Results for Hyperovals of Generalized Quadrangles [PDF]
A hyperoval of a point-line geometry is a nonempty set of points meeting each line in either 0 or 2 points. We discuss a combination of theoretical and practical techniques that are helpful for classifying hyperovals of generalized quadrangles. These techniques are based on the connection between hyperovals, even sets and pseudo-embeddings of point ...
De Bruyn B.
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Probabilistic constructions in generalized quadrangles
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Jeroen Schillewaert +1 more
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On the history of generalized quadrangles
\textit{S. E. Payne} und \textit{J. A. Thas} [``Finite generalized quadrangles'' (1984; Zbl 0551.05027), Chapter 6] zeigten, daß es genau ein verallgemeinertes Viereck \(Q\) mit \(5\) verschiedenen Punkten auf einer Geraden und 3 verschiedenen Geraden durch einen Punkt gibt.
J W P Hirschfeld
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Topology in generalized quadrangles
The study of topological generalized quadrangles, in particular 3- dimensional generalized quadrangles, was first taken up by \textit{M. Forst} [Mitt. Math. Semin. Gießen 147, 65-129 (1981; Zbl 0478.51013)]. The authors resume this subject and lay the basis for the study of topological generalized quadrangles in general dimension.
Theo Grundhöfer, Norbert Knarr
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A question of Frohardt on $2$ -groups, skew translation quadrangles of even order and cyclic STGQs
We solve a fundamental question posed in Frohardt’s 1988 paper [6] on finite $2$ -groups with Kantor familes, by showing that finite groups K with a Kantor family $(\mathcal {F},\mathcal {F}^*)$ having distinct members $A, B \in \mathcal
Koen Thas
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Additive two-dimensional splitting schemes for solving 3D suspension transport problems on optimal boundary-adaptive grids with uniform spacing’s in the vertical direction [PDF]
The article considers3D matter transport model in dissolved and suspended forms (impurities) in coastal marine systems. The initial boundary value problem numerical solution is carried out on the basis of local2D splitting schemes.
Sukhinov A, Sidoryakina V
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Note on Discovering Doily in PG(2,5)
W. L. Edge proved that the internal points of a conic in PG(2,5), together with the collinear triples on the non-secant lines, form the Desargues configuration. M.
Stefano Innamorati
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Domesticity in Generalized Quadrangles [PDF]
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Temmermans, Beukje +2 more
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Classification of skew translation generalized quadrangles, I [PDF]
Combinatorics
Koen Thas
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COVERS OF GENERALIZED QUADRANGLES [PDF]
AbstractWe solve a problem posed by Cardinali and Sastry (Elliptic ovoids and their rosettes in a classical generalized quadrangle of even order.Proc. Indian Acad. Sci. Math. Sci.126(2016), 591–612) about factorization of 2-covers of finite classical generalized quadrangles (GQs). To that end, we develop a general theory of cover factorization for GQs,
Thas, Joseph, Thas, Koen
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