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definition:permutation_group [2013/08/22 15:34] bmwoodruff |
definition:permutation_group [2013/08/30 11:47] (current) joshuawiscons [External links] |
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| ====== Permutation Group ====== | ====== Permutation Group ====== | ||
| ====Definition==== | ====Definition==== | ||
| - | A $\textdef{permutation group}$ on $X$ is a set of permutations | + | A $\textdef{permutation group}$ on $X$ is a set of [[definition: |
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| % DEPENDENCIES | % DEPENDENCIES | ||
| - | % RequiredMacros: | + | % RequiredMacros: |
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| \begin{definition} | \begin{definition} | ||
| - | A $\textdef{permutation group}$ on $X$ is a set of permutations of $X$ that contains the identity permutation and is closed under function composition and taking inverses. | + | A \textdef{permutation group} on $X$ is a set of permutations of $X$ that contains the identity permutation and is closed under function composition and taking inverses. |
| \end{definition} | \end{definition} | ||
| </ | </ | ||
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| - | {{tag> | + | {{tag> |