# Character (group theory)/Related Articles

From Citizendium, the Citizens' Compendium

*See also changes related to Character (group theory), or pages that link to Character (group theory) or to this page or whose text contains "Character (group theory)".*

## Parent topics

- Group theory [r]: Branch of mathematics concerned with groups and the description of their properties.
^{[e]} - Group homomorphism [r]: A map between group which preserves the group structure.
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## Subtopics

- Dirichlet character [r]: A group homomorphism on the multiplicative group in modular arithmetic extended to a multiplicative function on the positive integers.
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- Group [r]: Set with a binary associative operation such that the operation admits an identity element and each element of the set has an inverse element for the operation.
^{[e]} - Circle group [r]:
*Add brief definition or description* - Trace [r]: Sum of diagonal elements of matrix; for linear operator
*T*, the trace is*Σ*〈_{k}*v*|_{k}*T*|*v*〉 where {_{k}*v*} is an orthonormal basis._{k}^{[e]} - Group representation [r]:
*Add brief definition or description* - Character group [r]:
*Add brief definition or description* - Abelian group [r]: A group in which the group operation is commutative.
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