# abelian group

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Related to Finite abelian group: Fundamental theorem of finite abelian groups

## a·be·li·an group

(ə-bē′lē-ən)*n.*

See commutative group.

[After Niels Henrik Abel

*(1802-1829), Norwegian mathematician*.]## Abelian group

(əˈbiːlɪən)*n*

(Mathematics) a group the defined binary operation of which is commutative: if

*a*and*b*are members of an Abelian group then*ab*=*ba*[C19: named after Niels Henrik

*Abel*(1802–29), Norwegian mathematician]ThesaurusAntonymsRelated WordsSynonyms

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Noun | 1. | Abelian group - a group that satisfies the commutative lawmathematical group, group - a set that is closed, associative, has an identity element and every element has an inverse |

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