Definition:Trivial Character

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Definition

Let $G$ be a finite abelian group.

The character $\chi_0: G \to \C_{\ne 0}$ defined as:

$\forall g \in G: \chi_0 \left({g}\right) = 1$

is the trivial character on $G$.


Also see


Also known as

The trivial character is also known as the principal character on $G$.