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arXiv · 0808.4114

Length Four Polynomial Automorphisms

Sooraj Kuttykrishnan
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Abstract

We study the structure of length four polynomial automorphisms of $R[X,Y]$ when $R$ is a UFD. The results from this study are used to prove that if $\text{SL}_m(R[X_1,X_2,..., X_n]) = \text{E}_m(R[X_1,X_2,..., X_n])$ for all $n, m \ge 0$ then all length four polynomial automorphisms of $R[X,Y]$ that are conjugates are stably tame.

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Sooraj Kuttykrishnan. 2008-08-29. Length Four Polynomial Automorphisms. https://arxiv.org/abs/0808.4114

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