Abstract
In this note stabilizer classes (classes closed under formation of direct sums and homomorphic images) which consist of groups G for which G/tG is divisible (tG denotes the torsion subgroup) are examined. Particular attention is given to singly generated stabilizer classes-those determined by a single group. It is shown that simply presented torsion-free rank one groups determine stabilizer classes that depend only on the height matrix of the group. Localization techniques are employed to isolate at a prime and thereby to consider modules over the integers localized at a prime p.
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© 1984 Springer-Verlag Wien
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Fay, T.H. (1984). Stabilizer Classes Determined by Simply Presented Modules. In: Göbel, R., Metelli, C., Orsatti, A., Salce, L. (eds) Abelian Groups and Modules. International Centre for Mechanical Sciences, vol 287. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2814-5_24
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DOI: https://doi.org/10.1007/978-3-7091-2814-5_24
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-81847-3
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