Rocco Trombetti

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We construct six new infinite families of finite semifields, all of which are two-dimensional over their left nuclei. We give constructions for both even and odd characteristics when the left nucleus has odd dimension over the center. The characteristic is odd in the one family in which the left nucleus has even dimension over the center. Spread sets of(More)
In this paper we face with the problem of constructing semifield spreads in projective spaces of dimension larger than 3. To this aim we study the relationship between linear sets disjoint from the secant variety of a Segre variety S n,n of P G(n 2 − 1, q) and semifield spreads of P G(2n − 1, q), focusing on the symplectic case. When n = 3, we construct a(More)