consider the action of S_3 on X.
This topic is giving me a hard time, I was thinking an example might help clear thing up.
Lets say I was given a group which consists of
and a set consisting of
and I was asked to find the respective orbits. Then would it simply be:
where 1 is a stabalizer
stabalizes 2
so the orbit of 2 is with order 3. And if I do the same procedure for 3 I would get the same elements with the same order so
Regarding 7 and 9, I'm thinking that all elements of stabalize 7 and 9, since they don't move, both with order 1 and and
is this correct?
And how would partition ?