Homework Statement
Let A=C_{p^k} where p is a prime and k>0. Let _{p^m} A consist of all element a of A such that a^{p^m}=e.
Prove that _{p^m} A/_{p^m-1} A\cong C_p if m\leq k, \frac{_{p^m} A}{_{p^m-1} A}=e if m>kThe Attempt at a Solution
Please could someone explain how to get started with...