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
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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.References
- László Fuchs, Infinite abelian groups. Vol. II, Pure and Applied Mathematics. Vol. 36-II, Academic Press, New York-London, 1973. MR 0349869
- Carl Peercy Walker, Properties of $\textrm {Ext}$ and quasi-splitting of Abelian groups, Acta Math. Acad. Sci. Hungar. 15 (1964), 157–160. MR 167526, DOI 10.1007/BF01897032
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