3 problems

Stable compressed-rank conjecture. For every Stallings graph $\Gamma$ and $d\in\mathbb{N}$,

Let $H\leq J$ be subgroups of a free group $\mathbf{F}$. Let $\mathbf{F}'$ be a free extension of $\mathbf{F}$, meaning that $\mathbf{F}\leq\mathbf{F}'$ and $\mathbf{F}'$ is free,…

Let $\mathbf{F}$ be a free group, and let $H\leq J\leq\mathbf{F}$. For a basis $X$ of $\mathbf{F}$, write $H\leq_{{\scriptscriptstyle \overset{\twoheadrightarrow}{X}}}J$ when the c…