Can someone help?
Prove: If x and g are elements of the group G, prove that |x| = |g^(-1)xg|. Deduce that |ab| = |ba| for every a, b in G.
|x| means the order of x. 1 is the identity element in this case.
For G a group and x in G, the order of x to be the smallest positive integer n such that x^n = 1 (that is |x| = n).