On the intersection of free subgroups in free products of groups with no $2$-torsion
On the intersection of free subgroups in free products of groups with no $2$-torsion
Let $(G_\ell\mid\ell\in L)$ be a family of groups and let $F$ be a free group. Let $G$ denote $F \ast {\Large{*}}_{\ell\in L} G_\ell$, the free product of $F$ and all the $G_\ell$. Let $\mathcal{F}$ denote the set of all finitely generated (free) subgroups $H$ of $G$ which have the property …