Abstract
We find the conditions for a strongly isolated normal subgroup of a periodic group \( G \) with additional finiteness conditions to have a complement in \( G \).
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References
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Acknowledgment
The authors are thankful to Danila Olegovich Revin whose remarks helped to improve this paper remarkably.
Funding
The authors were supported by the Russian Science Foundation (Grant no. 23–41–10003).
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Translated from Sibirskii Matematicheskii Zhurnal, 2023, Vol. 64, No. 6, pp. 1224–1228. https://doi.org/10.33048/smzh.2023.64.609
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Lytkina, D.V., Mazurov, V.D. Periodic Frobenius Groups. Sib Math J 64, 1351–1355 (2023). https://doi.org/10.1134/S0037446623060095
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DOI: https://doi.org/10.1134/S0037446623060095