Email this article Finite Groups Close to Frobenius Groups
- Authors: Wei X.1, Zhurtov A.K.2, Lytkina D.V.3, Mazurov V.D.4
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Affiliations:
- Department of Mathematics and Physics
- Kabardino-Balkarian State University
- Siberian State University of Telecommunications and Information Sciences Novosibirsk State University
- Sobolev Institute of Mathematics Novosibirsk State University
- Issue: Vol 60, No 5 (2019)
- Pages: 805-809
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172625
- DOI: https://doi.org/10.1134/S0037446619050045
- ID: 172625
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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.
About the authors
X. Wei
Department of Mathematics and Physics
Author for correspondence.
Email: wxb1289@126.com
China, Hefei
A. Kh. Zhurtov
Kabardino-Balkarian State University
Author for correspondence.
Email: zhurtov_a@mail.ru
Russian Federation, Nalchik
D. V. Lytkina
Siberian State University of Telecommunications and Information Sciences Novosibirsk State University
Author for correspondence.
Email: daria.lytkin@gmail.com
Russian Federation, Novosibirsk
V. D. Mazurov
Sobolev Institute of Mathematics Novosibirsk State University
Author for correspondence.
Email: mazurov@math.nsc.ru
Russian Federation, Novosibirsk
