Definition:Character (Number Theory)
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Definition
Let $\struct {G, +}$ be a finite abelian group.
Let $\struct {\C_{\ne 0}, \times}$ be the multiplicative group of complex numbers.
A character of $G$ is a group homomorphism:
- $\chi: G \to \C_{\ne 0}$
Also see
In algebra, character refers to the trace of a representation of $G$.
This generalizes the number theorist's definition above.
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