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Let $G , H$ be two finitely generated residually finite groups such that $F(G)=F(H)$. Where $F(G)$ is denoted denotes the isomorphic calasses isomorphism classes of finite quetiont quotients of $G$. Can we say that $G\cong H$?
Let $G , H$ be two finitely generated residually finite groups such that $F(G)=F(H)$. Where $F(G)$ is denoted the isomorphic calasses of finite quetiont of $G$. Can we say that $G\cong H$?