# first isomorphism theorem

If $f:G\to H$ is a homomorphism of groups (or rings, or modules), then it induces an isomorphism $G/\ker f\cong{\rm im}f$.

Title first isomorphism theorem FirstIsomorphismTheorem 2013-03-22 12:03:39 2013-03-22 12:03:39 rspuzio (6075) rspuzio (6075) 9 rspuzio (6075) Theorem msc 13A15 msc 20A05