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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2023 Volume 64, Number 6, Pages 1224–1228 (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

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.

UDC: 512.542

MSC: 35R30

Received: 13.08.2023
Revised: 13.08.2023
Accepted: 25.09.2023

DOI: 10.33048/smzh.2023.64.609


© Steklov Math. Inst. of RAS, 2025