let π be a product of disjoint m-cycles. Prove that π is a power of a cycle?(adsbygoogle = window.adsbygoogle || []).push({});

So this is like asking show that π = β^{x}for some cycle β and pos. integer x. right?

I don't know how to proceed on this except for the fact that the order of π is m.

any hints please

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# Power of a cycle

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