P. Schultz

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20182020

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5 papers · 1 filter

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…

math.GR2018

Decompositions of torsion-free abelian groups

Gabor Braun. Phill Schultz, Lutz Struengmann

It is known that every torsion-free abelian group of finite rank has a maximal completely decomposable summand that is unique up to isomorphism. We show that groups of infinite ran…

math.GR2018

Indecomposable Decompositions of Torsion-free Abelian Groups

Adolf Mader, Phill Schultz

An indecomposable decomposition of a torsion-free abelian group $G$ of rank $n$ is a decomposition $G = A_{1} \oplus \dots \oplus A_{t}$ where $A_{i}$ is indecomposable of rank $r_{i}$ so that…