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Finite groups whose maximal subgroups have only soluble proper subgroups. / Lytkina, Daria Viktorovna; Zhurtov, Archil Khazeshovich.

In: Siberian Electronic Mathematical Reports, Vol. 19, No. 1, 11, 2022, p. 237-240.

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

Harvard

Lytkina, DV & Zhurtov, AK 2022, 'Finite groups whose maximal subgroups have only soluble proper subgroups', Siberian Electronic Mathematical Reports, vol. 19, no. 1, 11, pp. 237-240. https://doi.org/10.33048/semi.2022.19.017

APA

Lytkina, D. V., & Zhurtov, A. K. (2022). Finite groups whose maximal subgroups have only soluble proper subgroups. Siberian Electronic Mathematical Reports, 19(1), 237-240. [11]. https://doi.org/10.33048/semi.2022.19.017

Vancouver

Lytkina DV, Zhurtov AK. Finite groups whose maximal subgroups have only soluble proper subgroups. Siberian Electronic Mathematical Reports. 2022;19(1):237-240. 11. doi: 10.33048/semi.2022.19.017

Author

Lytkina, Daria Viktorovna ; Zhurtov, Archil Khazeshovich. / Finite groups whose maximal subgroups have only soluble proper subgroups. In: Siberian Electronic Mathematical Reports. 2022 ; Vol. 19, No. 1. pp. 237-240.

BibTeX

@article{370c20df184344f198b8046b3f432560,
title = "Finite groups whose maximal subgroups have only soluble proper subgroups",
abstract = "We give a description of a finite group whose maximal subgroups possess only soluble proper subgroups, which implies the answer to the well-known question on composition factors of finite groups, whose second maximal subgroups are soluble.",
keywords = "finite group, maximal subgroup, solubility",
author = "Lytkina, {Daria Viktorovna} and Zhurtov, {Archil Khazeshovich}",
note = "Funding Information: Lytkina, D.V., Zhurtov, A.Kh., Finite groups whose maximal subgroups have only soluble proper subgroups. {\textcopyright} 2022 Lytkina D.V., Zhurtov A.Kh. The work of the first author is supported by RFBR, project No. 20-51-00007. Received March, 7, 2022, published April, 8, 2022. Publisher Copyright: {\textcopyright} 2022. Lytkina D.V., Zhurtov A.Kh. All Rights Reserved.",
year = "2022",
doi = "10.33048/semi.2022.19.017",
language = "English",
volume = "19",
pages = "237--240",
journal = "Сибирские электронные математические известия",
issn = "1813-3304",
publisher = "Sobolev Institute of Mathematics",
number = "1",

}

RIS

TY - JOUR

T1 - Finite groups whose maximal subgroups have only soluble proper subgroups

AU - Lytkina, Daria Viktorovna

AU - Zhurtov, Archil Khazeshovich

N1 - Funding Information: Lytkina, D.V., Zhurtov, A.Kh., Finite groups whose maximal subgroups have only soluble proper subgroups. © 2022 Lytkina D.V., Zhurtov A.Kh. The work of the first author is supported by RFBR, project No. 20-51-00007. Received March, 7, 2022, published April, 8, 2022. Publisher Copyright: © 2022. Lytkina D.V., Zhurtov A.Kh. All Rights Reserved.

PY - 2022

Y1 - 2022

N2 - We give a description of a finite group whose maximal subgroups possess only soluble proper subgroups, which implies the answer to the well-known question on composition factors of finite groups, whose second maximal subgroups are soluble.

AB - We give a description of a finite group whose maximal subgroups possess only soluble proper subgroups, which implies the answer to the well-known question on composition factors of finite groups, whose second maximal subgroups are soluble.

KW - finite group

KW - maximal subgroup

KW - solubility

UR - http://www.scopus.com/inward/record.url?scp=85129735154&partnerID=8YFLogxK

U2 - 10.33048/semi.2022.19.017

DO - 10.33048/semi.2022.19.017

M3 - Article

AN - SCOPUS:85129735154

VL - 19

SP - 237

EP - 240

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

IS - 1

M1 - 11

ER -

ID: 36078769