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Sibirskii Matematicheskii Zhurnal, 2021, Volume 62, Number 6, Pages 1215–1230
DOI: https://doi.org/10.33048/smzh.2021.62.602 (Mi smj7624) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Finite groups with prescribed $\Phi$-simple maximal subgroups

E. N. Bazhanova, V. A. Vedernikov

Moscow City Teachers' Training University, Digital Education Institute, Moscow, Russia
Full-text PDF (376 kB) Citations (2)
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DOI: https://doi.org/10.33048/smzh.2021.62.602
Abstract: Given $r\in \{2,3,5\}$, we study the structure of finite non-$r$-decomposable groups whose every non-$r$-decomposable maximal subgroup is a $\Phi$-simple group.
Keywords: finite non-$r$-solvable group, maximal subgroup, $\Phi$-simple group, $r$-nilpotent subgroup, $r$-decomposable group, Schmidt group, Frattini subgroup.
Received: 10.02.2021
Revised: 12.06.2021
Accepted: 11.08.2021
English version:
Siberian Mathematical Journal, 2021, Volume 62, Issue 6, Pages 981–993
DOI: https://doi.org/10.1134/S0037446621060021
Bibliographic databases:
Document Type: Article
UDC: 517.542
MSC: 35R30
Language: Russian
Citation: E. N. Bazhanova, V. A. Vedernikov, “Finite groups with prescribed $\Phi$-simple maximal subgroups”, Sibirsk. Mat. Zh., 62:6 (2021), 1215–1230; Siberian Math. J., 62:6 (2021), 981–993
Citation in format AMSBIB
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\pages 1215--1230
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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