This is joint work with Stephane Lamy. Let $k$ be a field of characteristic zero. The tame automorphism group Tame$(k^3)$ is generated by the affine automorphisms of $k^3$, and the automorphisms of the form $(x,y,z) → (x,y,z + P(x,y))$, where P is a polynomial in $k[x,y]$. We prove that every subgroup of Tame$(k^3)$ is virtually solvable or contains a nonabelian free group.
De Yair Minsky
De Ursula Hamenstädt
De Dawid Kielak
De Radhika Gupta
De Anne Lonjou
De Piotr Przytycki
De Vincent Guirardel
De Federica Fanoni
De Corey Bregman
De Richard D. Wade
De Sebastian Hensel
De Chao Li
De Stephen Coombes , Peter Liddle
De Victor Kleptsyn
De François-Xavier Vialard
