Invariants for a class of torsion-free abelian groups

Authors:
D. Arnold and C. Vinsonhaler

Journal:
Proc. Amer. Math. Soc. **105** (1989), 293-300

MSC:
Primary 20K15

DOI:
https://doi.org/10.1090/S0002-9939-1989-0935102-X

MathSciNet review:
935102

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Abstract: In this note we present a complete set of quasi-isomorphism invariants for strongly indecomposable abelian groups of the form . Here are subgroups of the rationals and is the kernel of , where . The invariants are the collection of numbers , where ranges over all subsets of the type lattice generated by . Our results generalize the classical result of Baer for finite rank completely decomposable groups, as well as a result of F. Richman on a subset of the groups of the form .

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DOI:
https://doi.org/10.1090/S0002-9939-1989-0935102-X

Article copyright:
© Copyright 1989
American Mathematical Society