Torsion-free abelian groups revisited

Phill Schultz

doi:10.4171/RSMUP/67

Torsion-free abelian groups revisited

Phill Schultz

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

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. G contains a direct sum of pure strongly indecomposable groups as a subgroup of finite index.

Original language	English
Pages (from-to)	239-252
Number of pages	14
Journal	Rendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova
Volume	144
DOIs	https://doi.org/10.4171/RSMUP/67
Publication status	Published - 2020

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title = "Torsion-free abelian groups revisited",

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. G contains a direct sum of pure strongly indecomposable groups as a subgroup of finite index.",

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KW - Finite rank torsion-free abelian group

KW - Orbits of a group action

KW - Strongly indecomposable summand

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JO - Rendiconti del seminario matematico della universita di padova

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ER -

Torsion-free abelian groups revisited

Abstract

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