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definition:abelian_group [2013/08/21 09:32] joshuawiscons created |
definition:abelian_group [2013/08/21 13:02] (current) bmwoodruff |
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| ====== 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> |
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| \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} | ||
| </ | </ | ||
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| - | {{tag> | + | {{tag> |