# Abelian

[uh-bee-lee-uh n, uh-beel-yuh n]

- 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.

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## Origin of Abelian^{}

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

## Examples from the Web for abelian

### Historical Examples

#### 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.