1
$\begingroup$

Say in $S_4$, I want to write $(1,2,3,4)$ as a product of 3 cycles? How should I do it? In general, how do you decompose larger cycles as the product of smaller cycles (but all having the same cycle length)?

  • 1
    Well, your permutation is odd, and 3-cycles are even, so you cannot do it: any product of even permutations is even.2011-03-23

2 Answers 2