ABSTRACT

We now turn to the main topic of interest: the investigation of a partial spread pi := (V,F), over a prime field F = GF (p), p > 3, when pi admits non-trivial elations α and β with distinct axes. More precisely, our goal is to determine the associated group generated by the two elations G := 〈α, β〉, and, furthermore, to determine the action of G on V .