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  1. No Access

    Article

    On the Generating Rank and Embedding Rank of the Hexagonic Lie Incidence Geometries

    Given a (thick) irreducible spherical building \(\Omega \) Ω , we establish ...

    A. De Schepper, J. Schillewaert, H. Van Maldeghem in Combinatorica (2024)

  2. No Access

    Article

    Lax embeddings of the Hermitian unital

    In this paper, we prove that every lax generalized Veronesean embedding of the Hermitian unital \({\mathcal{U}}\) of

    V. Pepe, H. Van Maldeghem in Designs, Codes and Cryptography (2013)

  3. No Access

    Article

    Domesticity in Generalized Quadrangles

    An automorphism of a generalized quadrangle is called domestic if it maps no chamber, which is here an incident point-line pair, to an opposite chamber. We call it point-domestic if it maps no point to an oppo...

    B. Temmermans, J. A. Thas, H. Van Maldeghem in Annals of Combinatorics (2012)

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    Article

    Collineations of polar spaces with restricted displacements

    Let J be a set of types of subspaces of a polar space. A collineation (which is a type-preserving automorphism) of a polar space is called J-domestic if it maps no flag of type J to an opposite one. In this paper...

    B. Temmermans, J. A. Thas, H. Van Maldeghem in Designs, Codes and Cryptography (2012)

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    Article

    A Characterization of the Finite Veronesean by Intersection Properties

    A combinatorial characterization of the Veronese variety of all quadrics in PG(n, q) by means of its intersection properties with respect to subspaces is obtained. The result relies on a similar combinatorial res...

    J. Schillewaert, J. A. Thas, H. Van Maldeghem in Annals of Combinatorics (2012)

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    Chapter and Conference Paper

    Hermitian Veronesean Caps

    In [J. Schillewaert and H. Van Maldeghem, Quadric Veronesean caps, Discrete Mathematics], a characterization theorem for Veronesean varieties in $$\m...

    J. Schillewaert, H. Van Maldeghem in Buildings, Finite Geometries and Groups (2012)

  7. No Access

    Article

    A characterization of the Grassmann embedding of H(q), with q even

    In this note, we characterize the Grassmann embedding of H(q), q even, as the unique full embedding of H(q) in PG(12, q) for which each ideal line of H(q) is contained in a plane. In particular, we show that no s...

    A. De Wispelaere, J. A. Thas, H. Van Maldeghem in Designs, Codes and Cryptography (2010)

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    Article

    Regular partitions of (weak) finite generalized polygons

    In this paper we define a regular m-partition of a distance regular graph as a partition of the vertex set into m classes, such that the number of vertices of a given class adjacent to a fixed vertex of another c...

    A. De Wispelaere, H. Van Maldeghem in Designs, Codes and Cryptography (2008)

  9. No Access

    Article

    Finite Moufang generalized quadrangles

    This paper gives a review of several equivalent Moufang conditions and the corresponding geometric classification in the finite case.

    J. A. Thas, H. Van Maldeghem in Journal of Mathematical Sciences (2006)

  10. No Access

    Article

    Codes from Generalized Hexagons

    In this paper, we construct some codes that arise from generalized hexagons with small parameters. As our main result we discover two new projective two-weight codes constructed from two-character sets in PG(5,4)...

    A. De Wispelaere, H. Van Maldeghem in Designs, Codes and Cryptography (2005)

  11. No Access

    Article

    Sharp homogeneity in affine planes, and in some affine generalized polygons

    Let G be a collineation group of a generalized (2n + 1 )-gon Γ and let L be a line such that every symmetry σ of any ordinary (2n + 1 )-gon in Γ containing L with σ(L) = L extends uniquely to a collineation in...

    T. Grundhöfer, H. Van Maldeghem in Abhandlungen aus dem Mathematischen Semina… (2004)

  12. No Access

    Article

    Full Embeddings Of The Finite Dual Split Cayley Hexagons

    In this paper we show that, for each prime power q, given an embedding of the finite dual split Cayley hexagon H(q) D in the d-dimensional projective space PG(d, q), d satisfies...

    J. A. Thas, H. Van Maldeghem in Combinatorica (2004)

  13. No Access

    Article

    Sharp homogeneity in some generalized polygons

    We show that, if a collineation group G of a generalized (2n + 1)-gon $\Gamma$ has the property that every symmetry of any apartment extends uniquely to a collineation in G, then $\Gamma$ is the unique projectiv...

    T. Grundhöfer, H. Van Maldeghem in Archiv der Mathematik (2003)

  14. No Access

    Chapter

    Diagrams for Embeddings of Polygons

    We introduce the concept of a “convex embedding” for generalized polygons. This concept emerges from a study of convex subcomplexes of buildings. We review some results on embeddings of generalized polygons in...

    B. Mühlherr, H. Van Maldeghem in Finite Geometries (2001)

  15. No Access

    Article

    On Opposition in Spherical Buildings and Twin Buildings

    In this paper, we prove a combinatorial property of twin apartments and opposition of chambers in twin buildings. We then characterize adjacency of chambers in twin buildings by meansof opposition of chambers...

    P. Abramenko, H. Van Maldeghem in Annals of Combinatorics (2000)

  16. No Access

    Article

    Characterizations by Automorphism Groups of Some Rank 3 Buildings – IV: Hyperbolic p-adic Moufang Buildings of Rank 3

    In this paper, we introduce the p-adic Moufang condition for hyperbolic buildings of rank 3. It is the most obvious and simplest generalization of the p-adic Moufang condition for affine buildings, introduced ...

    H. Van Maldeghem, K. Van Steen in Geometriae Dedicata (1999)

  17. No Access

    Article

    Characterizations by Automorphism Groups of some Rank 3 Buildings – I. Some Properties of Half Strongly-Transitive Triangle Buildings

    In a sequence of papers, we will show that the existence of a (half) strongly-transitive automorphism group acting on a locally finite triangle building Δ forces Δ to be one of the examples arising from PSL3(K) f...

    H. Van Maldeghem, K. Van Steen in Geometriae Dedicata (1998)

  18. No Access

    Article

    Translation Ovoids of Generalized Quadrangles and Hexagnos

    We define the notion of a translation ovoid in the classical generalized quadrangles and hexagons of order q, and we enumerate all known examples; translation spreads are defined dually. A modification of the ...

    I. Bloemen, J. A. Thas, H. Van Maldeghem in Geometriae Dedicata (1998)

  19. No Access

    Article

    Sub-weakly Embedded Singular and Degenerate Polar Spaces

    We show that every sub-weak embedding of any singular (degenerate or not) orthogonal or unitary polar space of non-singular rank at least 3 in a projective space PG

    J. A. THAS, H. VAN MALDEGHEM in Geometriae Dedicata (1997)

  20. No Access

    Article

    Cyclic caps in PG(3,q)

    This article investigates cyclic completek-caps in PG(3,q). Namely, the different types of completek-capsK in PG(3,q) stabilized by a cyclic projective groupG of orderk, acting regularly on the points ofK, are de...

    L. Storme, H. van Maldeghem in Geometriae Dedicata (1995)

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