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theorem:the_composition_of_permutations_is_a_permutation [2013/11/21 09:57] tarafife created |
theorem:the_composition_of_permutations_is_a_permutation [2013/11/21 10:01] (current) tarafife |
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====== The Composition Of Permutations Is A Permutation ====== | ====== The Composition Of Permutations Is A Permutation ====== | ||
====Theorem==== | ====Theorem==== | ||
- | Let $X$ be a set. Suppose that $\sigma_1, \sigma_2, \ldots, | + | Let $X$ be a set. Suppose that $\sigma_1, \sigma_2, \ldots, |
$\sigma_1\circ \sigma_2\circ \ldots\circ \sigma_k$ | $\sigma_1\circ \sigma_2\circ \ldots\circ \sigma_k$ | ||
is a permutation of $X$. | is a permutation of $X$. |