\begin{definition}[Definition:Character (Number Theory)]
Let $\left({G, +}\right)$ be a finite abelian group.
Let $\left({\C_{\ne 0}, \times}\right)$ be the multiplicative group of complex numbers.
A '''character''' of $G$ is a group homomorphism:
:$\chi: G \to \C_{\ne 0}$
\end{definition}