GL(4)-Orbits in a 16-Dimensional Module for Characteristic 3 Original Research Article

Letkbe an algebraically closed field of characteristic 3. In this paper we show that there are finitely manyGL(4, k)-orbits in the quotient of the moduleS3(k4) of all cubic forms by the submodule {x3 xset membership, variantS1(k4)} of cubes of linear forms.