(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known datahttp:

What is the largest number which is the order of an element of S_8? Write down

an element of that order in disjoint cycle notation.

2. Relevant equations

3. The attempt at a solution

To start with, I don't understand the wording of the question. When it refers to element, does it imply permutation. If so, then is the question asking that we find the composition of S_8 such that the order is at its largest (wherbey the order is the product of the least common multiple of the cycle lengths)?

For ex,

(12345)(678)

The order is 15

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# Homework Help: Permutations - determine order of S_n

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