On the valuations of the near polygon \({\mathbb{H}_n}\)

DOI10.1007/s00026-018-0383-3zbMath1466.51003OpenAlexW2801883646MaRDI QIDQ1653310

Bart De Bruyn

Publication date: 3 August 2018

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

Full work available at URL: https://doi.org/10.1007/s00026-018-0383-3

zbMATH Keywords

valuationnear polygonfull subgeometry

Mathematics Subject Classification ID

Generalized quadrangles and generalized polygons in finite geometry (51E12) Combinatorial aspects of finite geometries (05B25) Incidence structures embeddable into projective geometries (51A45) Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Related Items

Isometric embeddings of the near polygons \(\mathbb H_n\) and \(\mathbb G_n\) into dual polar spaces, The Use of Valuations for Classifying Point-Line Geometries

Cites Work

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• A new near octagon and the Suzuki tower
• On semi-finite hexagons of order \((2,t)\) containing a subhexagon
• Isometric embeddings of the near polygons \(\mathbb H_n\) and \(\mathbb G_n\) into dual polar spaces
• Embeddings and hyperplanes of discrete geometries
• Finite generalized quadrangles
• The structure of near polygons with quads
• Near \(n\)-gons and line systems
• Buildings of spherical type and finite BN-pairs
• On the generation of dual polar spaces of symplectic type over finite fields
• On Veldkamp lines
• Near polygons and Fischer spaces
• The universal embedding dimension of the near polygon on the \(1\)-factors of a complete graph
• Characterizations of the Suzuki tower near polygons
• The uniqueness of a certain generalized octagon of order \((2, 4)\)
• The Use of Valuations for Classifying Point-Line Geometries
• On the generation of some embeddable GF(2) geometries