abelian group

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a·be·li·an group (

-b

See commutative group.

[After Niels Henrik Abel (1802-1829), Norwegian mathematician.]

Abelian group [əˈbiːlɪən]

(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 (

-b

See commutative group.

ThesaurusLegend: Synonyms Related Words Antonyms

Noun

Abelian group - a group that satisfies the commutative law

commutative group

mathematical group, group - a set that is closed, associative, has an identity element and every element has an inverse

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commutative group group mathematical group ring ring up ringing rings vector space	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. Groups of diffeomorphisms in honor of Shigeyuki Morita on the ... by SciTech Book News Let G be an Abelian group and let E be a Banach space. On ([psi], [gamma])--stability of quadratic equation on groups by Faiziev, Valerii A.; Sahoo, Prasanna K. / Tamsui Oxford Journal of Mathematical Sciences The approach in [12] culminates in the deep investigation of Balan, Casazza, Heil, and Landau [1, 2] who have found a density theory for a general class of frames that are labeled by a discrete Abelian group. The homogeneous approximation property and the comparison theorem for ... by Grochenig, Karlheinz / Sampling Theory in Signal and Image Processing	Abdul-Hamid II Abdul-Jabbar Abdullah Abdullah ibn-Husein Abdullah II abeam abeam replenishment Abear Abearance Abearing abecedarian Abecedarian psalms abecedarium abecedarius abecedary abed Abednego Abegge Abel Abel Janszoon Tasman Abel Tasman Abelard abele abelia Abelian abelian group Abelmoschus Abelmoschus esculentus Abelmoschus moschatus abelmosk Abelson Abenaki ABEND Abeokuta Aber-de-vine Abercrombie Aberdare Aberdeen Aberdeen Angus Aberdeen terrier Aberdeenshire aberdevine Aberdonian Aberfan Abernathy abernethy Aberr aberrance aberrancy Aberrancy of curvature aberrant	Abel-shittim Abel-shittim Abelard Abelard Abélard Abélard Abélard and Héloïse Abelard, Peter Abelard, Peter Abélard, Peter Abélard, Peter Abélard, Pierre Abelcet Abelcet Abelcet abele Abelene Abelene abeles abelia Abelia Bedriftsrådgiverforening Abelian Abelian algebra Abelian and tauberian theorems Abelian Class Field Theory Abelian Defect Group Conjecture Abelian domain Abelian extension Abelian extensions Abelian field abelian group Abelian groups Abelian groups Abelian Lie algebra Abelian mean Abelian mean Abelian monoid Abelian operation Abelian quantum Hall state Abelian ring Abelian semigroup Abelian semigroup Abelian theorems Abelian, Ovanes Abelian, Ovanes Artemevich Abelianisation Abelianization abelias abelite Abell Abell 1656 Abell 2151 Abell 3526 Abell 426 Abell richness classes Abell, Kjeld Abell, Thomas Abell-Kendall method

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.

Groups of diffeomorphisms in honor of Shigeyuki Morita on the ... by SciTech Book News

Let G be an Abelian group and let E be a Banach space.

On ([psi], [gamma])--stability of quadratic equation on groups by Faiziev, Valerii A.; Sahoo, Prasanna K. / Tamsui Oxford Journal of Mathematical Sciences

The approach in [12] culminates in the deep investigation of Balan, Casazza, Heil, and Landau [1, 2] who have found a density theory for a general class of frames that are labeled by a discrete Abelian group.

The homogeneous approximation property and the comparison theorem for ... by Grochenig, Karlheinz / Sampling Theory in Signal and Image Processing

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