On Automorphisms of the Tame Polynomial Automorphism Group in Positive Characteristic

Abstract

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

22 pages, no figures; supported by the RSF Grant No. 17-11-01377

References in corpus (1)

• Algebras with the same (algebraic) geometry