Math 441 - Abstract Algebra - Theorem - TheCompositionOfPermutationsIsAPermutation

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Theorem (The Composition Of Permutations Is A Permutation)

Let $X$ be a set. Suppose that $\sigma_1, \sigma_2, \ldots,\sigma_k$ are permutations of $X$. Then the composition $\sigma_1\circ \sigma_2\circ \ldots\circ \sigma_k$ is a permutation of $X$.

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HomePage Current Problems All Problems Pictures ProblemsByWeek List of Problems List of Definitions List of Theorems List of Conjectures All Recent changes (use this to find a page that may have been lost)	Theorem The Composition Of Permutations Is A Permutation Please Login to access more options. Theorem (The Composition Of Permutations Is A Permutation) Let $X$ be a set. Suppose that $\sigma_1, \sigma_2, \ldots,\sigma_k$ are permutations of $X$. Then the composition $\sigma_1\circ \sigma_2\circ \ldots\circ \sigma_k$ is a permutation of $X$. The following pages link to this page. Problem.TheCompositionOfPermutationsIsAPermutation Theorem.TheCompositionOfPermutationsIsAPermutation Solution.TheCompositionOfPermutationsIsAPermutationBen Solution.TheCompositionOfPermutationsIsAPermutationTyler Edit Page History Source Attach File Backlinks List Group Page last modified on September 16, 2016, at 10:08 AM
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