Antonio Maschietti

Abstract: We prove that the action of the full collineation group of a symplectic translation plane of even order on the set of a completely regular line-oval is transitive. This provides us with a complete description of the group of collineations fixing a completely regular line-oval.

Abstract: We construct Kakeya sets in AG(n,q), where q is even and n>=2, whose points are zeros of a polynomial of degree q.