GL(4)-orbits in a 16-dimensional module for characteristic 3***

Arjeh Cohen
Technical University of Eindhoven
Amsterdam, The Netherlands

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Let $k$ be an algebraically closed field of characteristic 3. In this paper we show that there are finitely many $GL(4,k)$-orbits in the quotient of the module $ S^3 (k^4)$ of all cubic forms by the submodule $ x^3 xS^1(k^4) of cubes of linear forms.
***To appear in the Journal of Algebra (Academic Press).