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Probabilistic constructions in generalized quadrangles
Discrete Mathematics, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jeroen Schillewaert
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Foundations of elation generalized quadrangles [PDF]
European Journal of Combinatorics, 2006 The authors give a negative answer to the long-standing question whether or not the set of all elations about some point \(x\) forms a group for any thick generalized quadrangle \(S^{(x)}\) having \(x\) as an elation point or a center of transitivity. Furthermore, an answer is given for each of the known generalized quadrangles.
Koen Thas, Stanley E. Payne
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On the history of generalized quadrangles
Bulletin of the Belgian Mathematical Society - Simon Stevin, 1994 \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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Nonisomorphic generalized quadrangles [PDF]
Journal of Algebra, 1971 AbstractFor each integer e > 2 a class of somewhat more than φ(e) pairwise non-isomorphic quadrangles is exhibited and shown to yield nonisomorphic (v, k, λ)-designs. The collineation groups of these quadrangles and designs are determined. Also a class of quadrangles with s = q − 1, t = q + l, q any prime power, is constructed.
Payne, Stanley E
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A question of Frohardt on $2$ -groups, skew translation quadrangles of even order and cyclic STGQs
Forum of Mathematics, Sigma, 2023 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]
E3S Web of Conferences, 2020 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)
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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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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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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Affine representations of generalized quadrangles [PDF]
, 1970 It is shown that a general construction due to Tits of finite generalized quadrangles (4-gons) yields the “classical” examples and only these except when the characteristic of the underlying field is 2.
Payne, Stanley E
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