Results 21 to 30 of about 728 (237)
The homogeneous pseudo-embeddings and hyperovals of the generalized quadrangle H(3,4) [PDF]
, 2020 In this paper, we determine all homogeneous pseudo-embeddings of the generalized quadrangle H(3, 4) and give a description of all its even sets. Using this description, we subsequently compute all hyperovals of H(3, 4), up to isomorphism, and give ...
De Bruyn, Bart, Gao, Mou
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Automorphisms of a Generalized Quadrangle of Order 6
, 2023 In this thesis, we study the symmetries of the putative generalized quadrangle of order 6. Although it is unknown whether such a quadrangle Q can exist, we show that if it does, that Q cannot be transitive on either points or lines.
Pesak, Ryan
core
A geometric proof of a theorem on antiregularity of generalized quadrangles [PDF]
, 2012 A geometric proof is given in terms of Laguerre geometry of the theorem of Bagchi, Brouwer and Wilbrink, which states that if a generalized quadrangle of order s > 1 has an antiregular point then all of its points are antiregular.
Wong, PPW, Pun, AY
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A complex polytope as generalized quadrangle
, 1983 SynopsisWe show that the classical generalized quadrangle W(3) is modelled by a complex polytope, and give an explicit embedding in PG(3, 3)
S. G. Hoggar
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Generalized quadrangles and regularity
Discrete Mathematics, 2005 The point \(X\) of a generalized quadrangle (GQ) of order \((s,t)\) is regular if \(|(\{X,Y\}^\bot)^\bot|=t+1\) for every point \(Y\) not collinear with \(X\). Let the generalized quadrangle \(\mathcal S\) of order \((s,t)\) contain a regular point \(X\). Then the incidence structure \({\mathcal N}_X\) with pointset \(X^\bot-\{X\}\), with lineset \(\{(\
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Extending generalized quadrangles
Journal of Combinatorial Theory, Series A, 1989 Let P be any point of a finite incidence structure S and denote by \(S_ P\) the incidence structure which consists of all points of S joined to P and all lines of S containing P. S is called an extended generalized quadrangle of order (s,t) if S is connected and \(S_ P\) is a generalized quadrangle of order (s,t) for all points P of S.
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Foundations of elation generalized quadrangles
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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Opportunities of Semiconducting Oxide Nanostructures as Advanced Luminescent Materials in Photonics
Advanced Materials, EarlyView.The review discusses the challenges of wide and ultrawide bandgap semiconducting oxides as a suitable material platform for photonics. They offer great versatility in terms of tuning microstructure, native defects, doping, anisotropy, and micro‐ and nano‐structuring. The review focuses on their light emission, light‐confinement in optical cavities, and
Ana Cremades +7 more
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Self-Dual and LCD Codes from Kneser Graphs K(n, 2) and Generalized Quadrangles
MathematicsIn this paper, we study self-dual and LCD codes constructed from Kneser graphs K(n, 2) and collinearity graphs of generalized quadrangles using the so-called pure and bordered construction. We determine conditions under which these codes are self-dual or
Dean Crnković, Ana Grbac
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Probabilistic constructions in generalized quadrangles
Discrete Mathematics, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jeroen Schillewaert, Jacques Verstraëte
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