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residually finite Is residual finiteness a profinite property?
Let $G,H$ be infinite finitely generated groups such that: $|G|=|H|$ and$F(G)=F(H)$. Where $F(G)$ denotes the isomorphism classes of finite quotients of $G$. Let $G$ be residually finite. can we say that $H$ is residually finite too?
residually finite
Let $G,H$ be infinite finitely generated groups such that: $|G|=|H|$ and$F(G)=F(H)$. Where $F(G)$ denotes the isomorphism classes of finite quotients of $G$. Let $G$ be residually finite. can we say that $H$ is residually finite too?
Is residual finiteness a profinite property?
Let $G,H$ be infinite finitely generated groups such that $F(G)=F(H)$. Where $F(G)$ denotes the isomorphism classes of finite quotients of $G$. Let $G$ be residually finite. can we say that $H$ is residually finite too?
Let $G,H$ be infinite finitely generated groups such that: $|G|=|H|$ and $F(G)=F(H)$. Where $F(G)$ denotes the isomorphism classes of finite quotients of $G$. Let $G$ be residually finite. can we say that $H$ is residually finite too?
