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abelian group

   Also found in: Encyclopedia, Wikipedia 0.02 sec.
a·be·li·an group  (-bl-n, -blyn)
[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
[named after Niels Henrik Abel (1802-29), Norwegian mathematician]

abelian group also Abelian group  (-bl-n)
ThesaurusLegend:  Synonyms Related Words Antonyms
Noun1.abelian groupAbelian 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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Schwartz worked on abstract algebra, determining when a finite Abelian group can be partitioned into cosets of distinct subgroups.
 
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