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On Automorphisms of the Tame Polynomial Automorphism Group in Positive Characteristic (2103.12784v1)
Published 23 Mar 2021 in math.AG and math.RA
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.