Torsion--free abelian groups revisited (2)
Group Theory
2020-04-13 v1
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.
Cite
@article{arxiv.2004.05138,
title = {Torsion--free abelian groups revisited (2)},
author = {Phill Schultz},
journal= {arXiv preprint arXiv:2004.05138},
year = {2020}
}
Comments
15 pages. This paper has been accepted for publication by Rend. Sem. Mat. Univ. Padova. arXiv admin note: text overlap with arXiv:1909.11945