(Moderator's note: thread moved from "Set Theory, Logic, Probability, Statistics")(adsbygoogle = window.adsbygoogle || []).push({});

the question is

if n is odd then there are exactly two conjugacy classes of n cycles in An each of which contains (n-1)!/2 elements.

also there is a hint says let An act on itself

i know the fact that since An acts on itself, x doesnt commute with any odd permutation. So it splits into two Ccl An (x) and CCl An (12)x(12).

But i cant figure it out how to calculate either the number of stabilizers or the number of orbits

**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!

# Homework Help: Conjugacy classes in an

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