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Groups with Finitely Many Isomorphic Classes of Relevant Subgroups

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We study groups possessing the following property: for some relevant families \(\mathcal{M}\) of subgroups of G, subgroups from \(\mathcal{M}\) fall into finitely many isomorphic classes.

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Authors and Affiliations

  1. Department of Algebra and Geometry, School of Mathematics and Mechanics, Dnipro, Ukraine

    L. A. Kurdachenko

  2. Università di Salerno, Fisciano (Salerno), Italy

    P. Longobardi & M. Maj

Authors
  1. L. A. Kurdachenko
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  2. P. Longobardi
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  3. M. Maj
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Correspondence to L. A. Kurdachenko.

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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 177, Algebra, 2020.

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Kurdachenko, L.A., Longobardi, P. & Maj, M. Groups with Finitely Many Isomorphic Classes of Relevant Subgroups. J Math Sci 275, 749–757 (2023). https://doi.org/10.1007/s10958-023-06717-2

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