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Revision difference : first isomorphism theorem
Version 4 Version 3
If $f : G\to H$ is a homomorphism of groups (or rings, or modules), then it induces an isomorphism $G/\ker f \approx {\rm im} f$. If $f : G\to H$ is a homomorphism of groups (or rings, or modules), then it induces an isomorphism $G/\ker f \approx {\rm im} f$.