Automorphically Equivalent Elements of Finite Abelian Groups

Arjun Agarwal, Rachel Chen, Rohan Garg +1

Given a finite abelian group $G$ and elements $x,y\in G$, we prove that there exists $\ddot{I}•\in \text{Aut}(G)$ such that $\ddot{I}•(x)=y$ if and only if $G/\langle x \rangle \cong G/\lang…