Quasi-isomorphism invariants for two classes of finite rank Butler groups

Arnold, D.; Vinsonhaler, C.

doi:10.1090/S0002-9939-1993-1157997-0

Quasi-isomorphism invariants for two classes of finite rank Butler groups
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by D. Arnold and C. Vinsonhaler PDF

Proc. Amer. Math. Soc. 118 (1993), 19-26 Request permission

Abstract:

A complete set of numerical quasi-isomorphism invariants is given for a class of torsion-free abelian groups containing all groups of the form $\mathcal {G}[\mathcal {A}]$, where $\mathcal {A} = ({A_1}, \ldots ,{A_n})$ is an $n$-tuple of subgroups of the additive rationals and $\mathcal {G}[\mathcal {A}]$ is the cokernel of the diagonal embedding $\bigcap {{A_i} \to \oplus {A_i}}$. This classification and its dual include, as special cases, earlier classifications of strongly indecomposable groups of the form $\mathcal {G}[\mathcal {A}]$ and their duals.

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