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Non-Abelian Group


A non-Abelian group, also sometimes known as a noncommutative group, is a group some of whose elements do not commute. The simplest non-Abelian group is the dihedral group D3, which is of group order six.

A (bad) mathematical jokes runs as follows. Q: What's purple and works from home? A: A non-Abelian grape. (It doesn't commute.)


See also

Abelian Group, Commutative, Dihedral Group D3, Group

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Cite this as:

Weisstein, Eric W. "Non-Abelian Group." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Non-AbelianGroup.html

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