Homework Statement
Let G be a finite cyclic group of order n. If d is a positive divisor of n, prove that the equation x^d=e has d distinct solutions
Homework Equations
n=dk for some k
order(G)=nThe Attempt at a Solution
solved it:
<g^k>={g^k, g^2k,...,g^dk=e} and for all x in <g^k> x^d=e...