Balanced subgroups of finite rank completely decomposable abelian groups
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- by Loyiso G. Nongxa PDF
- Trans. Amer. Math. Soc. 301 (1987), 637-648 Request permission
Abstract:
It is proved that, if a finite rank completely decomposable group has extractable typeset of cardinality at most 5, all its balanced subgroups are also completely decomposable. Balanced Butler groups with extractable typeset of size at most 3 are almost completely decomposable and decompose into rank 1 and/or rank 3 indecomposable summands. We also construct an indecomposable balanced Butler group whose extractable typeset is of size 4 which fails to be almost completely decomposable.References
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Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 301 (1987), 637-648
- MSC: Primary 20K15
- DOI: https://doi.org/10.1090/S0002-9947-1987-0882707-3
- MathSciNet review: 882707