Results 41 to 50 of about 5,491 (151)
A sixteen-relator presentation of an infinite hyperbolic Kazhdan group
, 2017 We provide an explicit presentation of an infinite hyperbolic Kazhdan group with $4$ generators and $16$ relators of length at most $73$. That group acts properly and cocompactly on a hyperbolic triangle building of type $(3,4,4)$.
Caprace, Pierre-Emmanuel
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Generalized quadrangles of order 4. II
Journal of Combinatorial Theory, Series A, 1977 AbstractThere is a unique generalized quadrangle of order 4.
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Grid-symmetric generalized quadrangles
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2005 In a finite generalized quadrangle \(Q\) of order \((s, t)\) with \(s,t>1\) a line \(L\) is called an axis of symmetry if the group \(T(L)\) of all automorphisms that fix every line meeting \(L\) has the maximal possible order \(s\). A quadrangle \(Q\) is called grid-symmetric if \(Q\) has two disjoint axes \(M\) and \(L\) of symmetry such that two ...
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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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Translation ovoids of flock generalized quadrangles
European Journal of Combinatorics, 2004 Let \(S(F)\) be the generalised quadrangle (GQ) of order \((q^2,q)\) as defined by the fourgonal family \(F\). A translation ovoid \(O\) of \(S(F)\) is a set of \(q^3+1\) points of \(S(F)\) such that: (1) no two points of \(O\) are collinear on \(S(F)\); (2) \((\infty)\in O\) and there is a subgroup of the elation group \(G\) fixing \((\infty)\) which ...
BADER, LAURA, TROMBETTI, ROCCO
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The Ghinelli–Löwe construction of generalized quadrangles
European Journal of Combinatorics, 2003 The authors dig up an old construction of some finite generalized quadrangles due to Ghinelli and Löwe, which was never published. No new examples arise, but the authors identify earlier examples of this method (and these examples were not identified before) as flock quadrangles of Cantor-Knuth type.
GHINELLI, Dina, PAYNE S. E.
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The impact of ethnicity and intra-pancreatic fat on the postprandial metabolome response to whey protein in overweight Asian Chinese and European Caucasian women with prediabetes. [PDF]
Front Clin Diabetes Healthc, 2022 Joblin-Mills A +8 more
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Generalized Quadrangles and Flocks of Cones
European Journal of Combinatorics, 1987 A flock of the quadratic cone K of PG(3,q) is a partition of K but its vertex into disjoint conics. It is called linear if the planes of the q conics of such a flock all contain a common line. A flock is linear if and only if there corresponds a Desarguesian translation plane to it. W. M.
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Hypergraph geometry reflects higher-order dynamics in protein interaction networks. [PDF]
Sci Rep, 2022 Murgas KA, Saucan E, Sandhu R.
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