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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.

In: Communications in Algebra, Vol. 48, No. 3, 03.03.2020, p. 1305-1313.

Research output: Contribution to journal › Article › peer-review

Harvard

Buturlakin, AA & Khramova, AP 2020, 'A criterion for the existence of a solvable π-Hall subgroup in a finite group', Communications in Algebra, vol. 48, no. 3, pp. 1305-1313. https://doi.org/10.1080/00927872.2019.1684504

APA

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

Vancouver

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

Author

Buturlakin, Alexander A. ; Khramova, Antonina P. / A criterion for the existence of a solvable π-Hall subgroup in a finite group. In: Communications in Algebra. 2020 ; Vol. 48, No. 3. pp. 1305-1313.

BibTeX

@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",

}

RIS

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 -

ID: 22344474