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arXiv · 2103.12784

On Automorphisms of the Tame Polynomial Automorphism Group in Positive Characteristic

Alexei Belov-Kanel·Andrey Elishev·Jie-Tai Yu
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Abstract

In this paper we prove that over algebraically closed field $K$ of positive characteristic $\neq 2$ every automorphism of the group of origin-preserving automorphisms of the polynomial algebra $K[x_1,\ldots, x_n]$ ($n>3$) which fixes every diagonal matrix preserves, up to composition with a linear inner automorphism, every tame automorphism.

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Alexei Belov-Kanel, Andrey Elishev, Jie-Tai Yu. 2021-03-23. On Automorphisms of the Tame Polynomial Automorphism Group in Positive Characteristic. https://arxiv.org/abs/2103.12784

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