A general theory for dense near polygons with a nice chain of subpolygons

DOI10.1016/j.ejc.2006.05.014zbMath1132.51003OpenAlexW2038490084MaRDI QIDQ881810

Bart De Bruyn

Publication date: 18 May 2007

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2006.05.014

Mathematics Subject Classification ID

Generalized quadrangles and generalized polygons in finite geometry (51E12) Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Cites Work

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• Near polygons with a nice chain of sub-near polygons
• The classification of the slim dense near octagons
• The structure of near polygons with quads
• Near \(n\)-gons and line systems
• Dual polar spaces
• Buildings of spherical type and finite BN-pairs
• Near polygons and Fischer spaces
• Two conjectures regarding dense near polygons with three points on each line
• The glueing of near polygons
• Decomposable near polygons
• Generalized quadrangles with a spread of symmetry
• Dense near polygons with hexes of type \(H^D(5,q^{2}), Q(5,q)\times L_{q+1}\) or \(Q(5,q) \otimes Q(5,q)\)
• Nonisomorphic generalized quadrangles
• Near hexagons with four points on a line

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