Finite Groups Close to Frobenius Groups

X. Wei; A. Kh. Zhurtov; D. V. Lytkina; V. D. Mazurov

doi:10.1134/S0037446619050045

Finite Groups Close to Frobenius Groups

作者: Wei X.¹, Zhurtov A.K.², Lytkina D.V.³, Mazurov V.D.⁴
隶属关系:
1. Department of Mathematics and Physics
2. Kabardino-Balkarian State University
3. Siberian State University of Telecommunications and Information Sciences Novosibirsk State University
4. Sobolev Institute of Mathematics Novosibirsk State University
期: 卷 60, 编号 5 (2019)
页面: 805-809
栏目: Article
URL: https://journals.rcsi.science/0037-4466/article/view/172625
DOI: https://doi.org/10.1134/S0037446619050045
ID: 172625

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详细

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.