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abelian group
(redirected from Abelian groups)

   Also found in: Encyclopedia, Wikipedia 0.01 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 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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Among the topics discussed by the research articles are symplectic Heegaard splittings and linked abelian groups, differential characters and the Steenrod squares, relative weight filtrations on completions of mapping class groups, symplectic automorphism groups of nilpotent quotient of fundamental groups of surfaces, and new examples of elements in the kernel of the Magnus representation of the Torelli groups.
1 Locally compact abelian groups An abelian group G has an operation of addition denoted by + that is commutative, i.
grabbed fourth place and $25,000 with his algebra project on how to partition so-called Abelian groups into subgroups.
 
 
 
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