Non-Abelian

DOWNLOAD Mathematica NotebookDownload Wolfram Notebook

A group or other algebraic object is called non-Abelian if the law of commutativity does not always hold, i.e., if the object is not Abelian. For example, the group of nonsingular matrices is non-Abelian, as can be seen by comparing

and

See also

Abelian, Abelianization, Group, Non-Abelian Group, Ring

This entry contributed by Todd Rowland

Explore with Wolfram|Alpha

Cite this as:

Rowland, Todd. "Non-Abelian." From MathWorld--A Wolfram Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/Non-Abelian.html

Subject classifications