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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Extensions of torsion-complete groups
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by Paul Hill and Charles Megibben
Proc. Amer. Math. Soc. 44 (1974), 259-262
DOI: https://doi.org/10.1090/S0002-9939-1974-0340452-3

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.
References
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Bibliographic Information
  • © Copyright 1974 American Mathematical Society
  • 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