Abstract
A complete classification, both up to quasi isomorphism and up to isomorphism, is given of the strongly indecomposable torsionfree abelian groups that occur as quotients of a finite rank completely decomposable torsionfree group modulo a rank 1 subgroup.
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References
D. Arnold, R. Hunter andF. Richman, Global Azumaya theorems in additive categories, J. Pure Appl. Algebra16 (1980), 223–242
D. Arnold and C. Vinsonhaler, Quasi-isomorphism invariants for a class of torsion-free abelian groups, Houston J. Math. (to appear)
D. Arnold and C. Vinsonhaler, Isomorphism invariants for abelian groups, Trans. Amer. Math. Soc. (to appear)
L. Fuchs, Infinite Abelian Groups, Vol. II, Academic Press, London-New York, 1973
P. Hill and C. Megibben, The classification of certain Butler groups (to appear)
J.E. Koehler, The type set of a torsion-free group of finite rank, Ill. J. Math.9 (1965), 66–86
F. Richman, An extension of the theory of completely decomposable torsion-free abelian groups, Trans. Amer. Math. Soc.279 (1983), 175–185
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This research was done while the second author held a visiting professorship at Tulane University.
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Fuchs, L., Metelli, C. On a class of butler groups. Manuscripta Math 71, 1–28 (1991). https://doi.org/10.1007/BF02568390
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DOI: https://doi.org/10.1007/BF02568390