Showing papers by "Joseph A. Thas published in 1988"
50 citations
TL;DR: In this paper, the authors determine all flocks of O(O) for q ≥ 8 for a translation plane of order q2 and a generalized quadrangle of order (q2,q).
Abstract: If ~(O) is a quadratic cone in PG(3,q), with vertex x, then a flock of c~(O) is a partition of cg(O)-{x} into q disjoint conics. With such a flock there correspond a translation plane of order q2 and a generalized quadrangle of order (q2,q). Here we determine all flocks of ~(O) for q ~< 8.
17 citations
TL;DR: A recently discovered family of ovals in PG(2, q), q = 2e, e odd, is shown to have a cyclic collineation group of order 2e.
15 citations
TL;DR: The aim is to coordinatize generalized quadrangles of order (s, s + 2) in terms of a certain group of automorphisms and a planar ternary ring using the coordinatization method of Payne.
10 citations
TL;DR: In this article, the authors introduce a theory of translation partial geometries, which have an automorphism group G acting regularly on the points of the points, and an example of such a translation partial geometry is T*2(K), embedded in AG(3, q), G being the group of translations of AG( 3, q).
Abstract: In this paper we introduce a theory of translation partial geometries. These geometries have an automorphism group G acting regularly on the points. An example of such a translation partial geometry is T*2(K), embedded in AG(3, q), G being the group of translations of AG(3, q). This theory is closely related to translation generalized quadrangles and translation planes.
7 citations