Definition:Abelian Group/Definition 2
- $G = \map Z G$
where $\map Z G$ is the center of $G$.
The usual way of spelling abelian group is without a capital letter, but Abelian is frequently seen.
The term commutative group can occasionally be seen.
Source of Name
This entry was named for Niels Henrik Abel.
The pronunciation of abelian in the term abelian group is usually either a-bee-lee-an or a-bell-ee-an, putting the emphasis on the second syllable.
Note that the term abelian has thus phonetically lost the connection to its eponym Abel (correctly pronounced aah-bl).