Recent content by hmw

Homework Statement Determine all integers for which there exists a unique abelian group of order n. Homework Equations The Attempt at a Solution All prime integers?

Homework Statement Show that the number of group homomorphisms from Zn to Zm is equal to gcd(n,m). my attempt: any hom from Zn to Zm must be f([x])=[kx] where k is a common factor of n and m. I can only get this far... any help is appreciated.