The Higman--Thompson groups $V_n$ are $(2,2,2)$-generated

Eduard Schesler, Rachel Skipper, Xiaolei Wu

We provide a family of generating sets $S_{\hat{I}}\pm$ of the Higman--Thompson groups $V_n$ that are parametrized by certain sequences $\hat{I}\pm$ of elements in $V_n$. These generating sets consi…