Show that a 3 cycle(a,b,c) in Sn has order 3.(adsbygoogle = window.adsbygoogle || []).push({});

Show that a product of disjoint transpositions (a,b)(c,d) in Sn has order 2.

Find the order of (a,b)(x,y,z) in Sn, if this is a product of disjoint cycles.

Apply this to tell the orders of all permutations in A4.

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# Product of disjoint cycles

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