Hi, a bit stuck on the second part of this university question..
Two permutations of prime period n may be considered to be equivalent
if one can be obtained from the other by reversing the orientation of
the line (i.e. using a conjugacy m(x) = -x). If m = (a1.....an) is
a permutation of prime period n then denote by M = (b1.... bn) the
permutation obtained by reversing the orientation of the line. What is
bk as a function of ak?
i think ive done this part ok just stating that M is the inverse of m, however im clueless as to the second part of the question
For each m which is an element of Q sketch the transition graph associated with the corre-sponding periodic orbit with the labelling S1 = [x1, x2], S2 = [x2, x3], S3 = [x3, x4] and S4 = [x4, x5].
thanks for looking