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

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10.1134/S0037446619050045

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T1 - Finite Groups Close to Frobenius Groups

AU - Wei, X.

AU - Zhurtov, A. Kh

AU - Lytkina, D. V.

AU - Mazurov, V. D.

PY - 2019/9/1

Y1 - 2019/9/1

N2 - 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.

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.

KW - Camina group

KW - complement

KW - Frobenius group

KW - generalized Frobenius group

KW - kernel

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DO - 10.1134/S0037446619050045

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JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

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ER -

Finite Groups Close to Frobenius Groups

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