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

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

Кафедра алгебры и математической логики ММФ

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

2 Цитирования (Scopus)

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.

Язык оригинала	английский
Страницы (с-по)	805-809
Число страниц	5
Журнал	Siberian Mathematical Journal
Том	60
Номер выпуска	5
DOI	https://doi.org/10.1134/S0037446619050045
Состояние	Опубликовано - 1 сен 2019

Доступ к документу

10.1134/S0037446619050045

Link to publication in Scopus

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Цитировать

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AU - Mazurov, V. D.

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AB - 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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