Residually finite group

ID: residually-finite-group

A group \( G \) is called **residually finite** if for every nontrivial element \( g \in G \) (i.e., \( g \neq e \), where \( e \) is the identity element of the group), there exists a finite group \( H \) and a group homomorphism \( \varphi: G \to H \) such that \( \varphi(g) \neq \varphi(e) \).

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