What is the order of a permutation telling you about it? And how to find the following orders (1 5 4)(2 3 7)(6 8) (1 3 5 7)(2 6)(4 8) Thanks!
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Originally Posted by universalsandbox What is the order of a permutation telling you about it? And how to find the following orders (1 5 4)(2 3 7)(6 8) (1 3 5 7)(2 6)(4 8) Thanks! Since these are disjoint cycles the order is the lcm of their lengths.
so how would you find the length of a cycle?
Originally Posted by universalsandbox so how would you find the length of a cycle? The length of $\displaystyle (1 5 4)$ is $\displaystyle 3$. The length of $\displaystyle (237)$ is $\displaystyle 3$. The length of $\displaystyle (68)$ is $\displaystyle 2$. Find $\displaystyle \text{lcm}(3,3,2) = 6$. And that is the order.
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