I have been asked to show that in Sn the cycle (1,2,....n) only commutes with its powers.(adsbygoogle = window.adsbygoogle || []).push({});

I know that cycles commute when they are disjoint and that every permutation can be written as a product of disjoint cycles but how do i show that this cycle and its powers are disjoint?

PLz help.

Thank you.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Permutations commuting with their powers

**Physics Forums | Science Articles, Homework Help, Discussion**