Two orbits: When is one in the closure of the other?

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Let $G$ be a connected linear algebraic group, let $V$ be a finite dimensional algebraic $G$-module, and let $\mathcal O_1$, $\mathcal O_2$ be two $G$-orbits in $V$. We describe a constructive way to find out whether $\mathcal O_1$ lies in the closure of $\mathcal O_2$ or not.
15 pages. Example 1.15 and Remark 1.16 are added. Several minor typos are fixed

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