Group homomorphism

Definition / General algebra /

Let $(G,*)$ and $(H,\cdot)$ be two groups. A map $f:G \rightarrow H$ is a group homomorphism if for all $a,b\in G$ :
$f(a*b)=f(a)\cdot f(b)$

Problems using this concept (1)

(\mathbb{Q},+)

\left(\mathbb{Q}^{*}_{+}, \times\right)

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No listed problems use this concept as a spoiler yet.