On Automorphisms of the Tame Polynomial Automorphism Group in Positive Characteristic

2021/03/23 by Belov-Kanel, Alexei, Andrey Elishev, Elishev, Andrey +2
Mathematics · Medicine · Physics and Astronomy · #13F20. Secondary 16S10 #16W20 #16Z05 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Primary 14R10 #Quantum chaos and dynamical systems #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2103.12784

openalex publication_date 2021/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we prove that over algebraically closed field K of positive characteristic ≠ 2 every automorphism of the group of origin-preserving automorphisms of the polynomial algebra K[x₁,…, x_n] (n>3) which fixes every diagonal matrix preserves, up to composition with a linear inner automorphism, every tame automorphism.

Citations

• On The Zariski Topology Of Automorphism Groups Of Affine Spaces And\n Algebras

Related

• Generalisations of the tame automorphisms over a domain of positive characteristic
• A new co-tame automorphism of the polynomial ring
• Co-tame polynomial automorphisms
• A non-tame and non-co-tame automorphism of the polynomial ring
• Closed subgroups of the polynomial automorphism group containing the affine subgroup