Automorphism Classes of Elements in Finitely Generated Abelian Groups

Details Automorphism Classes of Elements in Finitely Generated Abelian Groups Automorphism Classes of Elements in Finitely Generated Abelian Groups

2011-09-09

arxiv.org/abs/1109.2106v1

Mathematics

Group Theory

Scientific paper

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.

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