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arXiv.org e-Print Archive
Preprint . 2020
Data sources: arXiv.org e-Print Archive
https://dx.doi.org/10.48550/ar...
Article . 2020
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Torsion--free abelian groups revisited (2)

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2020Embargo end date: 01 Jan 2020Publisher:arXiv
Authors: Schultz, Phill;

doi: 10.48550/arxiv.2004.05138

arXiv: 2004.05138

Torsion--free abelian groups revisited (2)

Abstract

Let G be a torsion-free abelian group of finite rank. The orbits of the action of Aut(G) on the set of maximal independent subsets of G determine the indecomposable decompositions of G. G contains a direct sum of pure strongly indecomposable groups as a subgroup of finite index.

15 pages. This paper has been accepted for publication by Rend. Sem. Mat. Univ. Padova. arXiv admin note: text overlap with arXiv:1909.11945

Keywords

20K15, 20K25, 20K30, FOS: Mathematics, Group Theory (math.GR), Mathematics - Group Theory

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selected citations
These citations are derived from selected sources.
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).
BIP!Citations provided by BIP!
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.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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