isometries

[dapper wadi]

group actions

not sure how to start

@vapid stirrup i am just pinging you now lol see when you can

[queen talon]

what are the elements of Sn?

the permutations of {1,...,n}

so g are 1-1 onto functions

if you have (s1,s2,s3) and (w1,w2,w3) we need to find g such that

g(s1) = w1 , g(s2)=w2, g(s3)=w3

as long as g is 1-1

(1,1,2) (1,2,3) are not in the same orbit

since g(1)=1 , g(1)=2 is not a permutation