Abelian
[uhbeeleeuh n, uhbeelyuh n]

adjective Mathematics.
of or relating to Niels Henrik Abel or his theorems.
pertaining to an algebraic system in which an operation is commutative: an Abelian group.
pertaining to such an operation.
Origin of Abelian
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Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019
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A group whose operations are all permutable with each other is called an Abelian group.
An Abelian group contains subgroups whose orders are any given factors of the order of the group.