Abstract
Isospectral are the groups with coinciding sets of element orders. We prove that no finite group isospectral to a finite simple classical group has the exceptional groups of types \( E_{7} \) and \( E_{8} \) among its nonabelian composition factors.
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Acknowledgment
The author is grateful to M. A. Grechkoseeva for valuable comments, as well as to the referee, whose apt remarks helped to improve this article.
Funding
The author was supported by the Russian Foundation for Basic Research (Grant 18–31–20011).
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Translated from Sibirskii Matematicheskii Zhurnal, 2021, Vol. 62, No. 2, pp. 422–440. https://doi.org/10.33048/smzh.2021.62.213
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Staroletov, A.M. Composition Factors of the Finite Groups Isospectral to Simple Classical Groups. Sib Math J 62, 341–356 (2021). https://doi.org/10.1134/S0037446621020130
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DOI: https://doi.org/10.1134/S0037446621020130