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