# abelian group

Also found in: Thesaurus, Encyclopedia, Wikipedia.

Related to abelian group: group theory, vector space, Cyclic group

## 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

**Legend:**Switch to new thesaurus

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 |

Translations

Want to thank TFD for its existence? Tell a friend about us, add a link to this page, or visit the webmaster's page for free fun content.

Link to this page: