JournalsrsmupVol. 144pp. 239–252

Torsion-free abelian groups revisited

  • Phill Schultz

    The University of Western Australia, Perth, Australia
Torsion-free abelian groups revisited cover
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Abstract

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

Cite this article

Phill Schultz, Torsion-free abelian groups revisited. Rend. Sem. Mat. Univ. Padova 144 (2020), pp. 239–252

DOI 10.4171/RSMUP/67