This shows you the differences between two versions of the page.
Next revision | Previous revision | ||
definition:abelian_group [2013/08/21 09:32] joshuawiscons created |
definition:abelian_group [2013/08/21 13:02] (current) bmwoodruff |
||
---|---|---|---|
Line 1: | Line 1: | ||
====== Abelian Group ====== | ====== Abelian Group ====== | ||
====Definition==== | ====Definition==== | ||
- | A group is $\textdef{abelian}$ if its binary operation is [[wp> | + | A group is $\textdef{abelian}$ if its binary operation is [[wp> |
---- | ---- | ||
Line 16: | Line 16: | ||
%%%%% | %%%%% | ||
\begin{definition} | \begin{definition} | ||
- | A group is \textdef{abelian} if its binary operation is commutative. | + | A group is \textdef{abelian} if its binary operation is commutative; otherwise, it is said to be \textdef{nonabelian}. |
\end{definition} | \end{definition} | ||
</ | </ | ||
Line 25: | Line 25: | ||
- | {{tag> | + | {{tag> |