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On periodic groups with narrow spectrum

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Abstract

We study groups with no elements of big orders. We prove that if the set of element orders of G is {1, 2, 3, 4, p, 9}, where p ∈ {7, 5}, then G is locally finite.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk State University, Novosibirsk, Russia

    A. S. Mamontov

  2. Dipartimento di Filosofia e beni culturali, Universita di Ca’ Foscari, Dorsoduro, Venezia, Italy

    E. Jabara

Authors
  1. A. S. Mamontov
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  2. E. Jabara
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Corresponding author

Correspondence to A. S. Mamontov.

Additional information

Novosibirsk; Venezia. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 57, No. 3, pp. 683–687, May–June, 2016; DOI: 10.17377/smzh.2016.57.316.

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Mamontov, A.S., Jabara, E. On periodic groups with narrow spectrum. Sib Math J 57, 538–541 (2016). https://doi.org/10.1134/S0037446616030162

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  • DOI: https://doi.org/10.1134/S0037446616030162

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