An explicit tame factorization of the four-variable Anick automorphism

Alexei Miasnikov, Ivan Shestakov

Let $\delta =xz-yt$. We give an explicit tame factorization of the Anick automorphism $(x+\delta t,y+\delta z,z,t)$ of $F[x,y,z,t]$. After a linear change of coordinates, the factorization consists…