16 lines
601 B
Markdown
16 lines
601 B
Markdown
up::[[permutation]]
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title:: "$\mathfrak{S}_{n}$ permutations à $n$ éléments"
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#maths/algèbre
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----
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On note $\mathfrak S_n$ L'ensemble des [[permutation|permutations]] à $n$ éléments.
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# Exemple
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$\mathfrak S_2 = \left\{ \begin{pmatrix}1&2\\1&2\end{pmatrix}; \begin{pmatrix}1&2\\2&1\end{pmatrix} \right\}$
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$\mathfrak S_3 = \left\{ \begin{pmatrix}1&2&3\\1&2&3\end{pmatrix}; \begin{pmatrix}1&2&3\\1&3&2\end{pmatrix}; \begin{pmatrix}1&2&3\\2&1&3\end{pmatrix}; \begin{pmatrix}1&2&3\\2&3&1\end{pmatrix}; \begin{pmatrix}1&2&3\\3&1&2\end{pmatrix}; \begin{pmatrix}1&2&3\\3&2&1\end{pmatrix}\right\}$
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