VALUATIONS OF NEAR POLYGONS

DOI10.1017/S0017089505002582zbMath1085.51009OpenAlexW1973275955MaRDI QIDQ5697651

Bart De Bruyn, Pieter Vandecasteele

Publication date: 18 October 2005

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089505002582

zbMATH Keywords

valuationsnear polygon

Mathematics Subject Classification ID

Generalized quadrangles and generalized polygons in finite geometry (51E12) Combinatorial aspects of finite geometries (05B25) Combinatorial structures in finite projective spaces (51E20) Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Related Items (21)

Characterizations of the Suzuki tower near polygons ⋮ Dense near octagons with four points on each line, II ⋮ On semi-finite hexagons of order \((2,t)\) containing a subhexagon ⋮ The classification of the slim dense near octagons ⋮ A characterization of the SDPS-hyperplanes of dual polar spaces ⋮ The hyperplanes of the \(U_{4}(3)\) near hexagon ⋮ Isometric embeddings of the near polygons \(\mathbb H_n\) and \(\mathbb G_n\) into dual polar spaces ⋮ The hyperplanes of the glued near hexagon \(Q(5,2)\otimes Q(5,2)\) ⋮ Isometric embeddings between the near polygons \(\mathbb{H}_n\) and \(\mathbb{G}_n\) ⋮ Dense near octagons with four points on each line. III ⋮ Two new classes of hyperplanes of the dual polar space \(DH(2n-1,4)\) not arising from the Grassmann embedding ⋮ Isometric full embeddings of \(DW(2n - 1,q)\) into \(DH(2n - 1,q^{2}\)) ⋮ On generalized hexagons of order \((3, t)\) and \((4, t)\) containing a subhexagon ⋮ The valuations of the near octagon \({\mathbb{H}}_4\) ⋮ On geometric SDPS-sets of elliptic dual polar spaces ⋮ The valuations of the near octagon \(\mathbb G_4\) ⋮ Distance-\(j\)-ovoids in regular near \(2 d\)-gons ⋮ The hyperplanes of the near hexagon on the 2-factors of the complete graph \(K_8\) ⋮ The uniqueness of a certain generalized octagon of order \((2, 4)\) ⋮ The Use of Valuations for Classifying Point-Line Geometries ⋮ The uniqueness of the SDPS-set of the symplectic dual polar space \(DW(4n - 1,q),n\geq 2\)

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