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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 5, Pages 1035–1040
DOI: https://doi.org/10.33048/smzh.2019.60.504 (Mi smj3131) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Finite groups close to Frobenius groups

X. Weia, A. Kh. Zhurtovb, D. V. Lytkinacd, V. D. Mazurove

a Anhui Jianzhu University, Department of Mathematics and Physics, Hefei, P.R.C.
b Kabardino-Balkarian State University, Nalchik, Russia
c Siberian State University of Telecommunications and Information Sciences, Novosibirsk, Russia
d Novosibirsk State University, Novosibirsk, Russia
e Sobolev Institute of Mathematics, Novosibirsk, Russia
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DOI: https://doi.org/10.33048/smzh.2019.60.504
Abstract: We study finite nonsoluble generalized Frobenius groups; i.e., the groups $G$ with a proper nontrivial normal subgroup $F$ such that each coset $Fx$ of prime order $p$, as an element of the quotient group $G/F$, consists only of $p$-elements. The particular example of such a group is a Frobenius group, given that $F$ is the Frobenius kernel of $G$, and also the Camina group.
Keywords: Frobenius group, generalized Frobenius group, kernel, complement, Camina group.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00507
National Natural Science Foundation of China 11771409
The first author was supported by the NNSF of China (Grant 11771409). This research was supported by the Russian Foundation for Basic Research (Grant 19–01–00507).
Received: 18.03.2019
Revised: 13.06.2019
Accepted: 24.07.2019
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 5, Pages 805–809
DOI: https://doi.org/10.1134/S0037446619050045
Bibliographic databases:
Document Type: Article
UDC: 512.44
Language: Russian
Citation: X. Wei, A. Kh. Zhurtov, D. V. Lytkina, V. D. Mazurov, “Finite groups close to Frobenius groups”, Sibirsk. Mat. Zh., 60:5 (2019), 1035–1040; Siberian Math. J., 60:5 (2019), 805–809
Citation in format AMSBIB
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