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In mathematics, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements does ...
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In mathematics, specifically in group theory, an elementary abelian group is an abelian group in which all elements other than the identity have the same ...
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In mathematics, an Abelian 2-group is a higher dimensional analogue of an Abelian group, in the sense of higher algebra, which were originally introduced by ...
Lattice theory studies free abelian subgroups of real vector spaces. In algebraic topology, free abelian groups are used to define chain groups, and in ...
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In group theory, an abelian group is a group with operation that is commutative. Because of that, an abelian group is sometimes called a 'commutative group'.
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For finitely generated abelian groups, rank is a strong invariant and every such group is determined up to isomorphism by its rank and torsion subgroup. Torsion ...
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So, finitely generated abelian groups can be thought of as a generalization of cyclic groups. Every finite abelian group is finitely generated. The finitely ...
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, a group in which the binary operation is commutative. Category of abelian groups (Ab), has abelian groups as objects and group homomorphisms as morphisms.
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