Torsion--free abelian groups revisited (2)

2020/04/09 by Schultz, Phill
#20K15 #20K25 #20K30 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2004.05138

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.

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