Automorphism Classes of Elements in Finitely Generated Abelian Groups
Group Theory
2011-09-12 v1
Abstract
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.
Cite
@article{arxiv.1109.2106,
title = {Automorphism Classes of Elements in Finitely Generated Abelian Groups},
author = {Charles F. Rocca},
journal= {arXiv preprint arXiv:1109.2106},
year = {2011}
}