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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Extensions of torsion-complete groups


Authors: Paul Hill and Charles Megibben
Journal: Proc. Amer. Math. Soc. 44 (1974), 259-262
MSC: Primary 20K35
DOI: https://doi.org/10.1090/S0002-9939-1974-0340452-3
MathSciNet review: 0340452
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Abstract: Problem 54 in L. Fuch's Infinite abelian groups. Vol. II, is solved negatively. An abelian $ p$-group without elements of infinite height can be an extension of one torsion-complete group by another without itself being torsion complete.


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DOI: https://doi.org/10.1090/S0002-9939-1974-0340452-3
Keywords: Torsion-complete groups, extensions, abelian $ p$-groups, Fuch's Problem 54
Article copyright: © Copyright 1974 American Mathematical Society