Let pi is a cycle in S(n) of length r. Prove that ord(pi) = r.
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Originally Posted by anncar Let pi is a cycle in S(n) of length r. Prove that ord(pi) = r. It is quite stairtforward. Let in for example. Not if you compose with itself 3 times each element goes to itself. This happens to be its order.
hi, could you explain it more thoroughly?..like- what everything means? thanks.
Originally Posted by anncar hi, could you explain it more thoroughly?..like- what everything means? thanks. TPH meant that if you take any element of length r, and if you compose r times, that is, , then you will get , the identity.. hence, the order is r..
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