Recent content by NanoSaur

Suppose A is a finite abelian group and p is a prime. A^p={a^p : a in A} and A_p={x:x^p=1,x in A}. How to show A/A^p is isomorphic to A_p. I tried to define a p-power map between A/A^p and A_p and show this map is isomorphism. But my idea didnot work right now. Please give me some help. In...