Torsion-free abelian groups revisited
Rendiconti del Seminario Matematico della Università di Padova, Tome 144 (2020), pp. 239-252.
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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.

Publié le :
DOI : 10.4171/rsmup/67
Classification : 20, 00 
@article{RSMUP_2020__144__239_0,
     author = {Phill Schultz},
     title = {Torsion-free abelian groups revisited},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {239--252},
     volume = {144},
     year = {2020},
     doi = {10.4171/rsmup/67},
     mrnumber = {4186457},
     zbl = {1477.20101},
     language = {en},
     url = {http://www.numdam.org/articles/10.4171/rsmup/67/}
}
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Phill Schultz. Torsion-free abelian groups revisited. Rendiconti del Seminario Matematico della Università di Padova, Tome 144 (2020), pp. 239-252. doi : 10.4171/rsmup/67. http://www.numdam.org/articles/10.4171/rsmup/67/

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