A criterion for the existence of a solvable π-Hall subgroup in a finite group

Alexander A. Buturlakin; Antonina P. Khramova

doi:10.1080/00927872.2019.1684504

A criterion for the existence of a solvable π-Hall subgroup in a finite group

Alexander A. Buturlakin, Antonina P. Khramova

Результат исследования: Научные публикации в периодических изданиях › статья

Аннотация

Let G be a finite group and let π be a set of primes. We prove that G has a solvable π-Hall subgroup if and only if G has a {p, q}-Hall subgroup for every pair p, q ∈ π.

Язык оригинала	английский
Страницы (с-по)	1305-1313
Число страниц	9
Журнал	Communications in Algebra
Том	48
Номер выпуска	3
DOI	https://doi.org/10.1080/00927872.2019.1684504
Состояние	Опубликовано - 3 мар 2020

Доступ к документу

10.1080/00927872.2019.1684504

Link to publication in Scopus

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Цитировать

Buturlakin, A. A., & Khramova, A. P. (2020). A criterion for the existence of a solvable π-Hall subgroup in a finite group. Communications in Algebra, 48(3), 1305-1313. https://doi.org/10.1080/00927872.2019.1684504

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AB - Let G be a finite group and let π be a set of primes. We prove that G has a solvable π-Hall subgroup if and only if G has a {p, q}-Hall subgroup for every pair p, q ∈ π.

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