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Multiplicative character

In mathematics, a multiplicative character (or linear character, or simply character) on a group G is a group homomorphism from G to the multiplicative group of a field (Artin 1966), usually the field of complex numbers. If G is any group, then the set Ch(G) of these morphisms forms an abelian group under pointwise multiplication.

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MathematicsGroupGroup homomorphismMultiplicative groupField
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Examples

Real numbers
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Multiplicative character

Nodes18
Edges17
Triples2
Avg. degree1.89
Density0.111111
Components1

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Multiplicative character

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related to Examples · 2
Multiplicative character → Consider, Then

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Important terminology

group characters multiplicative numbers character displaystyle cdots artin 1966 complex mathematics field set image linear simply homomorphism usually ch morphisms

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SubjectPredicateObjectConfidenceSrc
Multiplicative characterrelated to ExamplesConsider0.60section
Multiplicative characterrelated to ExamplesThen0.60section

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