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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Balanced subgroups of finite rank completely decomposable abelian groups


Author: Loyiso G. Nongxa
Journal: Trans. Amer. Math. Soc. 301 (1987), 637-648
MSC: Primary 20K15
MathSciNet review: 882707
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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.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1987-0882707-3
PII: S 0002-9947(1987)0882707-3
Article copyright: © Copyright 1987 American Mathematical Society