Let G be a group. Suppose that H and L are subgroups of G, such that L is a normal subgroup of
H, and that H is a normal subgroup of G. Let xinG and consider ()/(bar) (L)=xLx^(-1).
a()/(bar) (L) is a subgroup of H.
b()/(bar) (L) is normal in H.
cainG, show that the elements a and xax^(-1) have the same order.