Stability and Invariant Random Subgroups

Oren Becker, Alexander Lubotzky, Andreas Thom

Consider $\mathrm{Sym}(n)$, endowed with the normalized Hamming metric $d_n$. A finitely-generated group $\Gamma$ is \emph{P-stable} if every almost homomorphism $ρ_{n_k}\colon Γ\…