Automorphism Classes of Elements in Finitely Generated Abelian Groups
Charles F. Rocca · arXiv (Cornell University) · 2011
We will show that every element of a finitely generated abelian group is automorphically equivalent what we will define to be a {\em representative element} in a {\em repeat-free subgroup}, and for finite abelian groups we can count the number of automorphism classes of elements.