3 citations · 3 across the 8 of their papers we have counts for
10 papers
Generalized affine spaces, generalized ovoids and generalized quadrangles
Joseph Adolphe Thas
We consider a partition of the projective space PG(m + n - 1, K), with K any (commutative) field, into one space of dimension m - 1 while all other spaces of the partition have dim…
Arcs, Caps and Generalisations in a Finite Projective Space
J. W. P. Hirschfeld, J. A. Thas
Arcs and caps are fundamental structures in finite projective spaces. They can be generalised. Here, a survey is given of some important results on these objects, in particular on…
Epimorphisms of generalized polygons B: The octagons
Joseph A. Thas, Koen Thas
This is the second part of our study of epimorphisms with source a thick generalized -gon and target a thin generalized -gon. We classify the case when the polygons a…
Generalized Quadrangles Of Order . IV. Translations, Moufang And Fong-Seitz
Joseph A. Thas
In the period 1994-1999 Thas wrote a series of three papers on generalized quadrangles of order . In this Part IV we classify all finite translation generalized quadrangl…
Epimorphisms of generalized polygons A: The planes, quadrangles and hexagons
Joseph A. Thas, Koen Thas
Inspired by a theorem by Skornjakov-Hughes-Pasini [9, 7, 8] and a problem which turned up in our recent paper [13], we start a study of epimorphisms with source a thick generalized…
Covers of generalized quadrangles, 2. Kantor-Knuth covers and embedded ovoids
J. A. Thas, K. Thas
In this paper, which is a sequel to \cite{part1}, we proceed with our study of covers and decomposition laws for geometries related to generalized quadrangles. In particular, we ob…
On k-caps in PG(n, q), with q even and n \geq 4
Joseph A. Thas
Let , be the maximum size of k for which there exists a complete k-cap in PG(n, q). In this paper the known bounds for , q even and $q \ge…
Regular pseudo-hyperovals and regular pseudo-ovals in even characteristic
J. A. Thas
S. Rottey and G. Van de Voorde characterized regular pseudo-ovals of PG(3n - 1, q), q = 2^h, h >1 and n prime. Here an alternative proof is given and slightly stronger results are…
On k-caps in PG(n, q), with q even and n \geq 3
J. A. Thas
Let m_2(n, q) be the maximum size of k for which there exists a k-cap in PG(n, q), and let m'_2(n, q) be the second largest value of k for which there exists a complete k-cap in PG…
Covers of generalized quadrangles
Joseph A. Thas, Koen Thas
We solve a problem posed by Cardinali and Sastry [2] about factorization of -covers of finite classical generalized quadrangles. To that end, we develop a general theory of cove…