Tits Alternative for the 3-dimensional tame automorphism group

TL;DR

This paper proves that the 3-dimensional tame automorphism group over a field of characteristic zero satisfies the strong Tits alternative, indicating a dichotomy in its subgroup structure.

Contribution

It establishes the strong Tits alternative for the 3-dimensional tame automorphism group, a significant advancement in understanding its algebraic properties.

Findings

Proves the strong Tits alternative for the group

Provides new insights into the subgroup structure of the group

Advances the theory of automorphism groups in algebraic geometry

Abstract

We prove the strong Tits alternative for the 3-dimensional tame automorphism group over a field K of characteristic zero.