2 problems

Fix $k\ge 2$ and $m\ge 1$, and let $F=F(a_1,\dots,a_k)$ be the free group of rank $k$. For an $m$-tuple $\sigma$ of elements of $F$, write $R(\sigma)$ for the corresponding set of…

A finite presentation $P$ may have relators of different lengths, and condition $Tau'$ is a generalized small cancellation condition. Generalized small cancellation conjecture. If…