abelian group

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Related to Classification of finite Abelian groups: Fundamental theorem of finite abelian groups

a·be·li·an group

 (ə-bē′lē-ən)
[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 WordsSynonymsLegend:
Noun1.Abelian group - a group that satisfies the commutative lawAbelian group - a group that satisfies the commutative law
mathematical group, group - a set that is closed, associative, has an identity element and every element has an inverse
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