V. S. Monakhov, “Groups with Formation Subnormal $2$-Maximal Subgroups”, Mat. Zametki, 105:2 (2019), 269–277; Math. Notes, 105:2 (2019), 251

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Matematicheskie Zametki, 2019, Volume 105, Issue 2, Pages 269–277
DOI: https://doi.org/10.4213/mzm11720 (Mi mzm11720)

This article is cited in 12 scientific papers (total in 12 papers)

Groups with Formation Subnormal

2

$2$ -Maximal Subgroups

V. S. Monakhov

Gomel State University named after Francisk Skorina

Full-text PDF (462 kB) Citations (12)

References:

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DOI: https://doi.org/10.4213/mzm11720

Abstract: Groups with

$\mathfrak X$ -subnormal

$2$ -maximal subgroups are investigated for an arbitrary hereditary formation

$\mathfrak X$ . In such a group, all proper subgroups have nilpotent

$\mathfrak X$ -residuals. The cases in which

$\mathfrak X=\mathfrak A_1\mathfrak F$ for some hereditary formation

$\mathfrak F$ or

$\mathfrak X$ is a solvable saturated formation are studied in more detail.

Keywords: finite group, formation, residual, subnormal subgroup.

Received: 12.06.2017

English version:
Mathematical Notes, 2019, Volume 105, Issue 2, Pages 251–257
DOI: https://doi.org/10.1134/S0001434619010279

Bibliographic databases:

Document Type: Article

UDC: 512.542

Language: Russian

Citation: V. S. Monakhov, “Groups with Formation Subnormal

$2$ -Maximal Subgroups”, Mat. Zametki, 105:2 (2019), 269–277; Math. Notes, 105:2 (2019), 251–257

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/mzm11720

https://doi.org/10.4213/mzm11720

https://www.mathnet.ru/eng/mzm/v105/i2/p269

This publication is cited in the following 12 articles:

Julian Kaspczyk, “On finite groups with given ICΦ-subgroups”, J. Algebra Appl., 23:01 (2024)
V. N. Knyagina, V. S. Monakhov, “Konechnye gruppy so slabo subnormalnymi podgruppami Shmidta”, Tr. In-ta matem., 31:1 (2023), 50–57
V. Monakhov, I. Sokhor, “Finite groups with strongly $\textrm{c}$ -reachable second maximal subgroups”, European Journal of Mathematics, 9:4 (2023), 92
M. N. Konovalova, V. S. Monakhov, I. L. Sokhor, “Finite groups with formational subnormal strictly 2-maximal subgroups”, Commun. Algebr., 50:4 (2022), 1606–1612
Yu. Wang, L. Miao, Zh. Gao, W. Liu, “The influence of second maximal subgroups on the generalized p-solvability of finite groups”, Commun. Algebr., 50:6 (2022), 2584–2591
V. S. Zakrevskaya, “Finite groups with generalized subnormal and generalized permutable subgroups”, Asian-Eur. J. Math., 15:01 (2022), 2250016
M. N. Konovalova, V. S. Monakhov, I. L. Sokhor, “O strogo $2$ -maksimalnykh podgruppakh konechnykh grupp”, PFMT, 2021, no. 4(49), 95–100
Monakhov V.S. Konovalova M.M., “On Groups With Formational Subnormal Strictly 2-Maximal Subgroups”, Ukr. Math. J., 73:1 (2021), 120–130
Kniahina V.N., Monakhov V.S., “Finite Groups With Double-Struck Capital P-Subnormal Sylow Subgroups”, Ukr. Math. J., 72:10 (2021), 1571–1578
M. N. Konovalova, “Finite Groups with $\mathfrak F$ -Subnormal Subgroups”, Math. Notes, 108:2 (2020), 201–208
M. N. Konovalova, V. S. Monakhov, “Konechnye gruppy s nekotorymi subnormalnymi 2-maksimalnymi podgruppami”, PFMT, 2020, no. 2(43), 75–79
M. N. Konovalova, I. L. Sokhor, “Konechnye gruppy s nekotorymi formatsionno subnormalnymi podgruppami”, PFMT, 2019, no. 4(41), 51–54

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

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