… with a Hermitian surface of PG(3, q2), q odd, is adopted and a hemisystem on the Hermitian
surface H(… Thas conjectured that there are no hemisystems on H(3, q2) for q > 3, so these are …

… of hemisystems may follow from results about maximal curves and their automorphism groups.
In this paper we obtain a hemisystem … to confirm that hemisystems of U 3 are rare objects. …

Constructing hemisystems of the Hermitian surface is a well known, apparently difficult,
problem in Finite geometry. So far, a few infinite families and some sporadic examples have …

… disjoint from S′ a relative hemisystem of S with respect to S′, … A new infinite family of
relative hemisystems on the generalized … arising from the Penttila–Williford relative hemisystems. …

… In this paper, we construct an infinite family of hemisystems of the Hermitian surface H(3,q2).
In particular, we show that for every odd prime power q congruent to 3 modulo 4, there …

… In Chapter 4, we explore the history and properties of hemisystems and relative hemisystems,
as well as give a survey of the known examples of relative hemisystems and their construc…

… The central object of study in this paper is the Hermitian surface \(\mathrm {H}(3,q^2)\),
whose points and lines form a generalised quadrangle, and the language and theory of …

… on a point we call R a relative subquadrangle hemisystem with respect to T. We construct
two infinite families of symplectic relative subquadrangle hemisystems of the Hermitian surface …

… group of a hemisystem of the Hermitian surface and the … hemisystems and related
strongly regular graphs. In Section 4 we show that for q > 3 the graph induced by a hemisystem …

… One of the classical finite generalized quadrangles is \({\mathcal {H}}(3,q^2)\), the
incidence structure of all points and lines of a non-singular Hermitian surface in \(\mathrm{PG}(3,q^2)\) …