Finite Groups Close to Frobenius Groups
- Авторы: Wei X.1, Zhurtov A.2, Lytkina D.3, Mazurov V.4
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Учреждения:
- 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
- Выпуск: Том 60, № 5 (2019)
- Страницы: 805-809
- Раздел: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172625
- DOI: https://doi.org/10.1134/S0037446619050045
- ID: 172625
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Аннотация
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.
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Об авторах
X. Wei
Department of Mathematics and Physics
Автор, ответственный за переписку.
Email: wxb1289@126.com
Китай, Hefei
A. Zhurtov
Kabardino-Balkarian State University
Автор, ответственный за переписку.
Email: zhurtov_a@mail.ru
Россия, Nalchik
D. Lytkina
Siberian State University of Telecommunications and Information Sciences Novosibirsk State University
Автор, ответственный за переписку.
Email: daria.lytkin@gmail.com
Россия, Novosibirsk
V. Mazurov
Sobolev Institute of Mathematics Novosibirsk State University
Автор, ответственный за переписку.
Email: mazurov@math.nsc.ru
Россия, Novosibirsk