Ivan Shishkin, Birch Grove

Group homomorphism

Definition / General algebra / Stub

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

Problems using this concept (1)
Group homomorphism from (Q,+)(\mathbb{Q},+) to (Q+∗,×)\left(\mathbb{Q}^{*}_{+}, \times\right)$
Problems using this concept (spoiler) (0)

No listed problems use this concept as a spoiler yet.