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theorem:the_composition_of_permutations_is_a_permutation

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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 $\sigma_1, \sigma_2, \ldots,\sigma_k$ are all [[Definition.Permutation|permutations]] of $X$.  Then the composition +Let $X$ be a set. Suppose that $\sigma_1, \sigma_2, \ldots,\sigma_k$ are all [[definition:Permutation]] of $X$.  Then the composition 
 $\sigma_1\circ \sigma_2\circ \ldots\circ \sigma_k$ $\sigma_1\circ \sigma_2\circ \ldots\circ \sigma_k$
 is a permutation of $X$. is a permutation of $X$.
theorem/the_composition_of_permutations_is_a_permutation.1385045829.txt.gz ยท Last modified: 2013/11/21 09:57 by tarafife