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On ω-categorical groups and rings of finite burden

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Abstract

An ω-categorical group of finite burden is virtually finite-by-abelian; an ω-categorical ring of finite burden is virtually finite-by-null; an ω-categorical NTP2 ring is nilpotent-by-finite.

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Author information

Authors and Affiliations

  1. Instytut Matematyczny, Uniwersytetu Wrocławskiego, pl. Grunwaldzki 2/4, 50-383, Wrocław, Poland

    Jan Dobrowolski

  2. School of Mathematics, University of Leeds, Leeds, LS2 9JT, UK

    Jan Dobrowolski

  3. CNRS, Institut Camille Jordan UMR5208, Université de Lyon, Université Claude Bernard Lyon 1, 43 bd du 11 novembre 1918, 69622, Villeurbanne Cedex, France

    Frank O. Wagner

Authors
  1. Jan Dobrowolski
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  2. Frank O. Wagner
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Corresponding author

Correspondence to Frank O. Wagner.

Additional information

Partially supported by ANR-13-BS01-0006 ValCoMo, by European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No 705410, and by the Foundation for Polish Science (FNP).

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Dobrowolski, J., Wagner, F.O. On ω-categorical groups and rings of finite burden. Isr. J. Math. 236, 801–839 (2020). https://doi.org/10.1007/s11856-020-1989-9

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  • DOI: https://doi.org/10.1007/s11856-020-1989-9

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