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definition:alternating_group [2013/08/14 13:09] bmwoodruff [External links] |
definition:alternating_group [2013/08/21 13:10] (current) bmwoodruff [External links] |
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| ====== Alternating Group ====== | ====== Alternating Group ====== | ||
| ====Definition==== | ====Definition==== | ||
| - | The alternating group of degree $n$, or alternating group on $n$ letters, is the [[definition: | + | The $\textdef{alternating group}$ of degree $n$, or alternating group on $n$ letters, is the [[definition: |
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| ---- | ---- | ||
| ==== $\LaTeX$ version ==== | ==== $\LaTeX$ version ==== | ||
| - | <code> | + | <file tex alternating_group.tex> |
| %%%%% | %%%%% | ||
| % DEPENDENCIES | % DEPENDENCIES | ||
| - | % RequiredMacros: | + | % RequiredMacros: |
| %%%%% | %%%%% | ||
| \begin{definition} | \begin{definition} | ||
| - | Type the definition using LaTeX syntax. | + | The $\textdef{alternating group}$ of degree $n$, or alternating group on $n$ letters, is the permutation group of even permutations on $n$ elements. We'll use the notation $A_n$ to denote the alternating group of degree $n$. |
| \end{definition} | \end{definition} | ||
| - | </code> | + | </file> |
| ---- | ---- | ||
| ==== External links ==== | ==== External links ==== | ||
| - | * [[wp>Alternating_group]] | + | * [[wp>Alternating group]] |
| - | {{tag> | + | {{tag> |