I have a question about the group homomorphism. Let $G$ is finite group. $f:G\to H$ is homomorphism. Does $H$ have to be a finite set ? May you explain with example?
Thank you.
2026-03-27 08:39:03.1774600743
Finite group homomorphism
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No. Take, for instance, $G=(\{-1,1\},\times)$, let $H=(\mathbb{Q}\setminus\{0\},\times)$, and let $f$ be the inclusion of $G$ into $H$.