Bounded generation and commutator width of Chevalley groups: function case

Boris Kunyavskii, Eugene Plotkin, Nikolai Vavilov

We prove that Chevalley groups over polynomial rings ${\mathbb{F}}_q[t]$ and over Laurent polynomial ${\mathbb{F}}_q[t,t^{-1}]$ rings, where ${\mathbb{F}}_q$ is a finite field, are boundedl…