Abelian group

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  • noun

Synonyms for Abelian group

a group that satisfies the commutative law

References in periodicals archive ?
Some significant information about an integer vector configuration is not retained in the multiplicity function, as many finite abelian groups can have the same cardinality.
Rankin, On the number of abelian groups of a given order, Quart J.
Romano: Construction of free abelian groups, Sarajevo J.
1] is compact), and so are united by working with locally compact abelian groups.
This note shows how to obtain an abelian group with an addition like operation (Joyner 2002:70-72) beginning with a subtraction binary operation.
grabbed fourth place and $25,000 with his algebra project on how to partition so-called Abelian groups into subgroups.
The second conjecture concerns the study of infinite almost abelian groups, more precisely we ask whether the super tree property at a small cardinal kappa implies that every almost free abelian group of size kappa is free.
The first edition, published in 1998, was intended as a self-contained work with a focus on structure theory rather than on representation theory or abstract harmonic analysis, although those topics were addressed; also included was such material as an introduction to linear Lie groups, abstract abelian groups, and category theory.
Consider the composite isomorphism of abelian groups
He proceeds from the elementary theory of Fourier series and Fourier integrals to abstract harmonic analysis on locally compact abelian groups.
Note that this includes the class of all finite abelian groups, because, if G is abelian of order g and H is a subgroup of order h, then [Gamma](G, H) is disconnected with exactly h components each component being complete with g/h vertices.
Fuchs: Infinite Abelian Groups II, Mir, Moskva, 1977 (in Russian).
The construction of this abelization is expressed in terms of category theory and as in the classical case of abelian groups it creates a functor called reflector.