- #1
decerto
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Homework Statement
Suppose σ is an element of S_n, if σ^5=1, is σ necessarily odd or even
Homework Equations
[itex]Parity(\sigma)= (\sum_{i=1}^k(|c_i|-1)) mod 2[/itex]
The Attempt at a Solution
Really unsure how to even start this, I think I have to use the fact you can decompose every permutation into a product of disjoint or 2 cycles and use their properties to show in what cases it's even or odd but I'm not really sure.