Abstract
Let \( G \) be a periodic group, and let \( \omega(G)\subseteq{} \) be the spectrum of \( G \) that is the set of orders of elements in \( G \). We prove that the alternating group \( A_{7} \) is uniquely recognized by its spectrum in the class of all groups.
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The first author was supported by the Russian Foundation for Basic Research (Grant 18–31–20011).
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Mamontov, A.S., Jabara, E. Recognizing \( A_{7} \) by Its Set of Element Orders. Sib Math J 62, 93–104 (2021). https://doi.org/10.1134/S0037446621010109
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DOI: https://doi.org/10.1134/S0037446621010109