Let H be a subgroup of a finite group G. Suppose that g belongs to G and n is the smallest possible integer such that g^n in H. Prove that n divides the order of the element g.
I am sorry I am not sure where to start. Thanks for the help.
Let H be a subgroup of a finite group G. Suppose that g belongs to G and n is the smallest possible integer such that g^n in H. Prove that n divides the order of the element g.
I am sorry I am not sure where to start. Thanks for the help.