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Sibirskii Matematicheskii Zhurnal, 2023, Volume 64, Number 6, Pages 1224–1228
DOI: https://doi.org/10.33048/smzh.2023.64.609 (Mi smj7826) 		 
Periodic Frobenius groups

D. V. Lytkinaab, V. D. Mazurovba

a Siberian State University of Telecommunications and Informatics, Novosibirsk
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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DOI: https://doi.org/10.33048/smzh.2023.64.609
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 $G$.
Keywords: periodic group, Frobenius group.
Funding agency Grant number
Russian Science Foundation 23-41-10003
The authors were supported by the Russian Science Foundation (Grant no. 23–41–10003).
Received: 13.08.2023
Revised: 13.08.2023
Accepted: 25.09.2023
English version:
Siberian Mathematical Journal, 2023, Volume 64, Issue 6, Pages 1351–1355
DOI: https://doi.org/10.1134/S0037446623060095
Document Type: Article
UDC: 512.542
MSC: 35R30
Language: Russian
Citation: D. V. Lytkina, V. D. Mazurov, “Periodic Frobenius groups”, Sibirsk. Mat. Zh., 64:6 (2023), 1224–1228; Siberian Math. J., 64:6 (2023), 1351–1355
Citation in format AMSBIB
\Bibitem{LytMaz23}
\by D.~V.~Lytkina, V.~D.~Mazurov
\paper Periodic Frobenius groups
\jour Sibirsk. Mat. Zh.
\yr 2023
\vol 64
\issue 6
\pages 1224--1228
\mathnet{http://mi.mathnet.ru/smj7826}
\transl
\jour Siberian Math. J.
\yr 2023
\vol 64
\issue 6
\pages 1351--1355
\crossref{https://doi.org/10.1134/S0037446623060095}
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