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Arithmetic sets in groups

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Abstract

We define a notion of an arithmetic set in an arbitrary countable group and study properties of these sets in the cases of Abelian groups and non-abelian free groups.

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Acknowledgements

We are thankful to the editor and referee for useful remarks and suggestions.

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Authors and Affiliations

  1. Department of Mathematics, North Dakota State University, Fargo, ND, 58102, USA

    Azer Akhmedov

  2. Department of Mathematics, Minnesota State University, Moorhead, MN, 56563, USA

    Damiano Fulghesu

Authors
  1. Azer Akhmedov
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  2. Damiano Fulghesu
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Correspondence to Azer Akhmedov.

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Akhmedov, A., Fulghesu, D. Arithmetic sets in groups. Math. Z. 292, 1195–1206 (2019). https://doi.org/10.1007/s00209-018-2125-y

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  • DOI: https://doi.org/10.1007/s00209-018-2125-y

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