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Methods of Set Theory and the Abundance of Separable Abelian p-Groups

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Abelian Group Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1006))

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]).

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References

  1. Eklof, P.: Methods of logic in abelian group theory, pp. 251–269 in: Abelian Group Theory, Lecture Notes in Math. 616, Springer-Verlag 1977.

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  6. Fuchs, L.: Infinite Abelian Groups volumes I and II, Academic Press, New York, 1970/73.

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Authors
  1. Martin Huber
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Editors and Affiliations

  1. FB 6 — Mathematik, Universität Essen, Gesamthochschule, Universitätsstr. 3, 4300, Essen 1, Federal Republic of Germany

    Rüdiger Göbel

  2. Department of Mathematics, University of Hawaii, 2565 The Mall, 96822, Honolulu, Hawai, USA

    Lee Lady  & Adolf Mader  & 

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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

  • eBook Packages: Springer Book Archive

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