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

Предметные области OECD FOS+WOS

1.01 МАТЕМАТИКА

Доступ к документу

10.1080/00927872.2019.1684504

Другие файлы и ссылки

Link to publication in Scopus

Цитировать

@article{9571883c0e844ac29248b30653b80e0f,

title = "A criterion for the existence of a solvable π-Hall subgroup in a finite group",

abstract = "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.",

keywords = "Finite group, Hall subgroup, solvable group",

author = "Buturlakin, {Alexander A.} and Khramova, {Antonina P.}",

year = "2020",

month = mar,

day = "3",

doi = "10.1080/00927872.2019.1684504",

language = "English",

volume = "48",

pages = "1305--1313",

journal = "Communications in Algebra",

issn = "0092-7872",

publisher = "Taylor and Francis Ltd.",

number = "3",

}

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

TY - JOUR

T1 - A criterion for the existence of a solvable π-Hall subgroup in a finite group

AU - Buturlakin, Alexander A.

AU - Khramova, Antonina P.

PY - 2020/3/3

Y1 - 2020/3/3

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

UR - http://www.scopus.com/inward/record.url?scp=85075019454&partnerID=8YFLogxK

U2 - 10.1080/00927872.2019.1684504

DO - 10.1080/00927872.2019.1684504

M3 - Article

AN - SCOPUS:85075019454

VL - 48

SP - 1305

EP - 1313

JO - Communications in Algebra

JF - Communications in Algebra

SN - 0092-7872

IS - 3

ER -

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

Аннотация

Предметные области OECD FOS+WOS

Доступ к документу

Другие файлы и ссылки

Fingerprint

Цитировать