Showing papers by "Joseph A. Thas published in 2018"
TL;DR: In this paper, the authors developed a general theory of cover factorization for GQs, and in particular, studied the isomorphism problem for such covers and associated geometries.
Abstract: We solve a problem posed by Cardinali and Sastry (Elliptic ovoids and their rosettes in a classical generalized quadrangle of even order. Proc. Indian Acad. Sci. Math. Sci. 126 (2016), 591-612) about factorization of 2-covers of finite classical generalized quadrangles (GQs). To that end, we develop a general theory of cover factorization for GQs, and in particular, we study the isomorphism problem for such covers and associated geometries. As a byproduct, we obtain new results about semi-partial geometries coming from theta-covers, and consider related problems.
5 citations
TL;DR: In this paper, the known bounds for m 2 (n, q ), n ≥ 4, q even and q ≥ 2048 were improved to m 2 n, q and n ≥ 3.
3 citations