On the $3$-colorable subgroup $\mathcal{F}$ and maximal subgroups of Thompson's group $F$

Valeriano Aiello, Tatiana Nagnibeda

In his work on representations of Thompson's group $F$, Vaughan Jones defined and studied the $3$-\emph{colorable subgroup} $\mathcal{F}$ of $F$. Later, Ren showed that it is isomo…