Abstract
The aim of this paper is to discuss the significance of a certain set-theoretic invariant г and the relation of quotient-equivalence for separable abelian p-groups of cardinality ωl. By means of these tools we gain new insight into the abundance of such groups. Both of these tools were originally introduced for the study of almost free groups (cf. [E1]).
Keywords
- Direct Summand
- Stationary Subset
- Pure Subgroup
- Basic Subgroup
- Limit Ordinal
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© 1983 Springer-Verlag Berlin Heidelberg
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Huber, M. (1983). Methods of Set Theory and the Abundance of Separable Abelian p-Groups. In: Göbel, R., Lady, L., Mader, A. (eds) Abelian Group Theory. Lecture Notes in Mathematics, vol 1006. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21560-9_15
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DOI: https://doi.org/10.1007/978-3-662-21560-9_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-12335-4
Online ISBN: 978-3-662-21560-9
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