Automorphism Classes of Elements in Finitely Generated Abelian Groups

Name: Automorphism Classes of Elements in Finitely Generated Abelian Groups
Creator: Rocca Jr, Charles F.
Keywords: FOS: Mathematics, Group Theory (math.GR), 0101 mathematics, Mathematics - Group Theory, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2011Embargo end date: 01 Jan 2011Publisher:arXiv

Authors: Rocca Jr, Charles F.;

doi: 10.48550/arxiv.1109.2106

arXiv: http://arxiv.org/abs/1109.2106

Automorphism Classes of Elements in Finitely Generated Abelian Groups

- Summary
- Subjects
- Metrics

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.

Keywords

FOS: Mathematics, Group Theory (math.GR), Mathematics - Group Theory

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	0
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

Average

Green

Fields of Science

Fields of Science