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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 3, Pages 553–561 (Mi smj2552)  
This article is cited in 5 scientific papers (total in 5 papers)

On finite groups with given maximal subgroups

V. S. Monakhova, V. N. Tyutyanovb

a Francisk Skorina Gomel State University, Gomel, Belarus
b "MITSO" International University, Gomel, Belarus
Full-text PDF (304 kB) Citations (5)
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Abstract: We prove that a finite group whose every maximal subgroup is simple or nilpotent is a Schmidt group. A group whose every maximal subgroup is simple or supersoluble can be nonsoluble, and in this case we prove that its chief series has the form $1\subset K\subseteq G$, $K\simeq PSL_2(p)$ for a suitable prime $p$, $|G:K|\le2$.
Keywords: finite group, nilpotent group, supersoluble group, maximal subgroup, simple group.
Received: 18.02.2013
English version:
Siberian Mathematical Journal, 2014, Volume 55, Issue 3, Pages 451–456
DOI: https://doi.org/10.1134/S0037446614030069
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: V. S. Monakhov, V. N. Tyutyanov, “On finite groups with given maximal subgroups”, Sibirsk. Mat. Zh., 55:3 (2014), 553–561; Siberian Math. J., 55:3 (2014), 451–456
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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