V. N. Knyagina, V. S. Monakhov, “On permutability of Sylow subgroups with Schmidt subgroups”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 3, 2010, 130–139; Proc. Steklov Inst. Math. (Suppl.), 272, suppl. 1 (2011), S55

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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 3, Pages 130–139 (Mi timm583)

This article is cited in 9 scientific papers (total in 9 papers)

On permutability of Sylow subgroups with Schmidt subgroups

V. N. Knyagina^a, V. S. Monakhov^b

^a Gomel Engineering Institute, Ministry of Extraordinary Situations of the Republic of Belarus
^b Francisk Skaryna Gomel State University

Full-text PDF (172 kB) Citations (9)

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Abstract: A Schmidt group is a non-nilpotent group whose every proper subgroup is nilpotent. Sufficient conditions for

p

$p$ -solvability of finite group in which Sylow

p

$p$ -subgroup permutes with some Schmidt subgroups are established. Sufficient conditions for solvability of finite group whose some Schmidt subgroups are permutable are obtained.

Keywords: finite group, solvable group, Schmidt subgroup, permutable subgroups.

Received: 25.12.2009

English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2011, Volume 272, Issue 1, Pages S55–S64
DOI: https://doi.org/10.1134/S0081543811020052

Bibliographic databases:

Document Type: Article

UDC: 512.542

Language: Russian

Citation: V. N. Knyagina, V. S. Monakhov, “On permutability of Sylow subgroups with Schmidt subgroups”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 3, 2010, 130–139; Proc. Steklov Inst. Math. (Suppl.), 272, suppl. 1 (2011), S55–S64

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/timm583

https://www.mathnet.ru/eng/timm/v16/i3/p130

This publication is cited in the following 9 articles:

E. V. Zubei, “Konechnye gruppy s $OS$ -properestanovochnymi podgruppami”, Chebyshevskii sb., 22:3 (2021), 457–463
E. V. Zubei, “O razreshimosti konechnoi gruppy s polunormalnymi ili subnormalnymi podgruppami Shmidta nekotoroi ee maksimalnoi podgruppy”, Tr. IMM UrO RAN, 25, no. 1, 2019, 55–61
V. I. Murashka, “Groups with prescribed systems of Schmidt subgroups”, Siberian Math. J., 60:2 (2019), 334–342
A. A. Trofimuk, E. V. Zubei, “O perestanovochnosti silovskoi podgruppy s podgruppami Shmidta nechetnogo poryadka”, PFMT, 2019, no. 1(38), 69–71
E. V. Zubei, “O perestanovochnosti silovskikh podgrupp s kommutantami B-podgrupp”, Zhurn. Belorus. gos. un-ta. Matem. Inf., 1 (2019), 12–17
V. S. Monakhov, E. V. Zubei, “O perestanovochnosti silovskoi podgruppy s podgruppami Shmidta iz nekotorogo ee dobavleniya”, Tr. IMM UrO RAN, 24, no. 3, 2018, 145–154
V. S. Monakhov, E. V. Zubei, “O kompozitsionnykh faktorakh konechnoi gruppy s $OS$ -polunormalnoi silovskoi podgruppoi”, Tr. In-ta matem., 26:1 (2018), 88–94
Knyagina V.N., “Konechnye gruppy s perestanovochnymi \it{n}-maksimalnymi podgruppami i \it{p}-nilpotentnymi podgruppami shmidta”, Vesnіk Vіtsebskaga dzyarzhainaga unіversіteta, 2:68 (2012), 14–18
V. N. Knyagina, V. S. Monakhov, “O perestanovochnosti maksimalnykh podgrupp s podgruppami Shmidta”, Tr. IMM UrO RAN, 17, no. 4, 2011, 126–133

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Trudy Instituta Matematiki i Mekhaniki UrO RAN

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