3 problems

Let $\mathbb{k}\langle x_1,x_2,y_1,y_2\rangle$ be the free associative algebra. Yagzhev's wildness conjecture. The automorphism … is wild, meaning that it does not belong to the su…

Let $K$ be a field of characteristic $0$, and let … be the Anick automorphism of $K\langle x,y,z\rangle$. An automorphism is wild if it does not belong to the group generated by el…

Let $\mathbf{k}[x,y,z]$ be a polynomial algebra and $\mathbf{k}\langle x,y,z\rangle$ the free associative algebra. A wild $z$-automorphism is an automorphism fixing $z$ that is not…