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 › рецензирование

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

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10.1080/00927872.2019.1684504

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A criterion for the existence of a solvable π-Hall subgroup in a finite group. / Buturlakin, Alexander A.; Khramova, Antonina P.

В: Communications in Algebra, Том 48, № 3, 03.03.2020, стр. 1305-1313.

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

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AU - Khramova, Antonina P.

PY - 2020/3/3

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N2 - 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.

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.

KW - Finite group

KW - Hall subgroup

KW - solvable group

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

Аннотация

Предметные области OECD FOS+WOS

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