The Stability Conjecture for generic relator tuples in free groups
Fix k≥2k\ge 2k≥2 and m≥1m\ge 1m≥1, and let F=F(a1,…,ak)F=F(a_1,\dots,a_k)F=F(a1,…,ak) be the free group of rank kkk. For an mmm-tuple σ\sigmaσ of elements of FFF, write R(σ)R(\sigma)R(σ) for the corresponding set of…