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On thep-rank of Ext

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Abstract

AssumeV =L andλ is regular smaller than the first weakly compact cardinal. Under those circumstances and with arbitrary requirements on the structure of Ext (G, ℤ) (under well known limitations), we construct an abelian groupG of cardinalityλ such that for noG′ ⊆G, |G′| <λ isG/G′ free and Ext (G, ℤ) realizes our requirements.

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Authors and Affiliations

  1. Department of Mathematics, Simon Fraser University, B.C., Canada

    Alan Mekler

  2. Institute of Mathematics, The Hebrew University of Jerusalem, 91904, Jerusalem, Israel

    Andrzej Rosłanowski

  3. Mathematical Institute of Wroclaw University, 50384, Wroclaw, Poland

    Andrzej Rosłanowski

  4. Institute of Mathematics, The Hebrew University of Jerusalem, 91904, Jerusalem, Israel

    Saharon Shelah

  5. Department of Mathematics, Rutgers University, 08854, New Brunswick, NJ, USA

    Saharon Shelah

Authors
  1. Alan Mekler
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  2. Andrzej Rosłanowski
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  3. Saharon Shelah
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Additional information

Deceased.

Partially supported by NSERC.

Partially supported by the United States — Israel Binational Science Foundation. Publication No. 314.

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Mekler, A., Rosłanowski, A. & Shelah, S. On thep-rank of Ext. Isr. J. Math. 112, 327–356 (1999). https://doi.org/10.1007/BF02773487

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  • DOI: https://doi.org/10.1007/BF02773487

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