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

Arjeh M. Cohe

Fac. Wisk. en Inf.

TUE

P.O. Box 513

5600 MB Eindhoven

The Netherlands
David B. Wales

Sloan Lab.

Caltech

Pasadena

CA 91125

USA

### Abstracts

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 \mid x\in S^1(k^4)\}$
of cubes of linear forms.

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