3 papers
math.GR2020
Canonical Decompositions of Abelian Groups
Phill Schultz
Every torsion--free abelian group of finite rank has two essentially unique complete direct decompositions whose summands come from specific classes of groups.
math.GR2020
Torsion--free abelian groups revisited (2)
Phill Schultz
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…
math.GR2019
Torsion-free Abelian Groups Revisited
Phill Schultz
Let G be a torsion--free abelian group of finite rank. The automorphism group Aut(G) acts on the set of maximal independent subsets of G. The orbits of this action are the isomorph…