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Classification Results for Hyperovals of Generalized Quadrangles [PDF]
Mathematical Software – ICMS 2020, 2020 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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Note on Discovering Doily in PG(2,5)
Mathematics, 2023 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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Kuwait Journal of Science, 2023 The purpose of this paper is to give an elementary and explicit construction of maximal parabolic centralizers of root elements in the Chevalley group E₆(K), and to show that the centralizer of a Seigel involution in the Weyl group W of type E₆(K) is the
Abdulkareem Alhuraiji +1 more
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Domesticity in Generalized Quadrangles [PDF]
Annals of Combinatorics, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Temmermans, Beukje +2 more
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On minimal blocking sets of the generalized quadrangle $Q(4, q)$ [PDF]
Discrete Mathematics & Theoretical Computer Science, 2005 The generalized quadrangle $Q(4,q)$ arising from the parabolic quadric in $PG(4,q)$ always has an ovoid. It is not known whether a minimal blocking set of size smaller than $q^2 + q$ (which is not an ovoid) exists in $Q(4,q)$, $q$ odd. We present results
Miroslava Cimráková, Veerle Fack
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Classification of skew translation generalized quadrangles, I [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 Combinatorics
Koen Thas
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COVERS OF GENERALIZED QUADRANGLES [PDF]
Glasgow Mathematical Journal, 2018 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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On the nonexistence of pseudo-generalized quadrangles [PDF]
European Journal of Combinatorics, 2020 In this paper we consider the question of when a strongly regular graph with parameters $((s+1)(st+1),s(t+1),s-1,t+1)$ can exist. These parameters arise when the graph is derived from a generalized quadrangle, but there are other examples which do not arise in this manner, and we term these {\it pseudo-generalized quadrangles}.
Ivan Guo +3 more
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Doily as Subgeometry of a Set of Nonunimodular Free Cyclic Submodules
Axioms, 2019 In this paper, it is shown that there exists a particular associative ring with unity of order 16 such that the relations between non-unimodular free cyclic submodules of its two-dimensional free left module can be expressed in terms of the structure of ...
Metod Saniga, Edyta Bartnicka
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An inequality for generalized quadrangles [PDF]
Proceedings of the American Mathematical Society, 1978 Let S \mathcal {S} be a generalized quadrangle of order (
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