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Vaught’s conjecture for some meager groups

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Abstract

AssumeG is a superstable group ofM-rank 1 and the division ring of pseudo-endomorphisms ofG is a prime field. We prove a relative Vaught’s conjecture for Th(G). When additionallyU(G) =ω, this yields Vaught’s conjecture for Th(G).

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Authors and Affiliations

  1. Mathematical Institute, Wrocław University, pl. Grunwaldzki 2/4, 50-384, Wrocław, Poland

    Ludomir Newelski

  2. Mathematical Institute of the Polish Academy of Sciences, Poland

    Ludomir Newelski

Authors
  1. Ludomir Newelski
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Correspondence to Ludomir Newelski.

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Research supported by KBN grant 2 P03A 006 09.

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Newelski, L. Vaught’s conjecture for some meager groups. Isr. J. Math. 112, 271–299 (1999). https://doi.org/10.1007/BF02773485

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  • DOI: https://doi.org/10.1007/BF02773485

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