Results 31 to 40 of about 5,491 (151)
Intriguing sets of vertices of regular graphs [PDF]
, 2010 Intriguing and tight sets of vertices of point-line geometries have recently been studied in the literature. In this paper, we indicate a more general framework for dealing with these notions. Indeed, we show that some of the results obtained earlier can
De Bruyn, Bart, Suzuki, Hiroshi
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SOME CHARACTERIZATIONS OF MOUFANG GENERALIZED QUADRANGLES [PDF]
Glasgow Mathematical Journal, 2004 We prove the longstanding conjecture that the 3-Moufang condition for generalized quadrangles is equivalent to the Moufang condition. We mention some other characterizations of Moufang quadrangles that follow from this result. We also provide a short proof of Tent's recent result that every half Moufang quadrangle is necessarily a Moufang quadrangle.
Haot, Fabienne, Van Maldeghem, Hendrik
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Intriguing sets of partial quadrangles
, 2008 The point-line geometry known as a \textit{partial quadrangle} (introduced by Cameron in 1975) has the property that for every point/line non-incident pair $(P,\ell)$, there is at most one line through $P$ concurrent with $\ell$.
Bamberg +20 more
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Topology in generalized quadrangles
Topology and its Applications, 1990 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.
Grundhöfer, Theo, Knarr, Norbert
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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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Nonisomorphic generalized quadrangles
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.
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The Veldkamp Space of Two-Qubits
Symmetry, Integrability and Geometry: Methods and Applications, 2007 Given a remarkable representation of the generalized Pauli operators of two-qubits in terms of the points of the generalized quadrangle of order two, W(2), it is shown that specific subsets of these operators can also be associated with the points and ...
Metod Saniga +3 more
doaj
On the Veldkamp Space of GQ(4, 2)
, 2010 The Veldkamp space, in the sense of Buekenhout and Cohen, of the generalized quadrangle GQ(4, 2) is shown not to be a (partial) linear space by simply giving several examples of Veldkamp lines (V-lines) having two or even three Veldkamp points (V-points)
Brouwer A. E. +4 more
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Characterisations of elementary pseudo-caps and good eggs [PDF]
, 2015 In this note, we use the theory of Desarguesian spreads to investigate good eggs. Thas showed that an egg in $\mathrm{PG}(4n-1, q)$, $q$ odd, with two good elements is elementary.
Rottey, Sara, Van de Voorde, Geertrui
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Generalized Quadrangles and Transitive Pseudo‐Hyperovals [PDF]
Journal of Combinatorial Designs, 2014 AbstractA pseudo‐hyperoval of a projective space , q even, is a set of subspaces of dimension such that any three span the whole space. We prove that a pseudo‐hyperoval with an irreducible transitive stabilizer is elementary. We then deduce from this result a classification of the thick generalized quadrangles that admit a point‐primitive, line ...
Bamberg, John +3 more
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