Finite abelian group

A finite abelian group is a finite group whose operation is commutative.

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- Character group of a finite abelian group Finite abelian group

Character group of a finite abelian group ( $G$ )

The character group

G

consists of the group homomorphisms

γ : G \to C^{\times}

. Pointwise multiplication makes it a finite abelian group isomorphic to

G

.

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