A note on extensions of free groups by torsion groups
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- by Paul Hill PDF
- Proc. Amer. Math. Soc. 27 (1971), 24-28 Request permission
Abstract:
Under the assumption of the continuum hypothesis, a torsion free group $G$ is constructed that is the extension of a free group $F$ by a reduced primary group $T$ such that $G$ cannot be embedded in a product of $Z$’s. In particular, $G$ is not free. This settles a question raised by Griffith.References
- Joel M. Cohen and Herman Gluck, Stacked bases for modules, Bull. Amer. Math. Soc. 75 (1969), 978–979. MR 246868, DOI 10.1090/S0002-9904-1969-12322-0
- L. Fuchs, Abelian groups, International Series of Monographs on Pure and Applied Mathematics, Pergamon Press, New York-Oxford-London-Paris, 1960. MR 0111783
- Phillip Griffith, Extensions of free groups by torsion groups, Proc. Amer. Math. Soc. 24 (1970), 677–679. MR 257228, DOI 10.1090/S0002-9939-1970-0257228-4
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 27 (1971), 24-28
- MSC: Primary 20.30
- DOI: https://doi.org/10.1090/S0002-9939-1971-0269736-1
- MathSciNet review: 0269736