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Butler Groups of Infinite Rank

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

Abstract

The class of pure subgroups of completely decomposable groups of finite rank was introduced and investigated by Butler in [5]. Lady called the groups in this class “Butler groups”. Some other authors studied Butler groups under different names (see Koehler [9] and the first author [3] and [4]). Recently, Arnold collected the known results on Butler groups in [1], and investigated more deeply this class of finite rank groups.

Keywords

  • Abelian Group
  • Exact Sequence
  • Finite Rank
  • Torsion Group
  • Pure Subgroup

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This work was done while the first author was visiting professor at the University of Padova, Italy, supported by the Italian C.N.R.

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References

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© 1983 Springer-Verlag Berlin Heidelberg

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Bican, L., Salce, L. (1983). Butler Groups of Infinite Rank. 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_6

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  • DOI: https://doi.org/10.1007/978-3-662-21560-9_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12335-4

  • Online ISBN: 978-3-662-21560-9

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