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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. Knyaginaa, V. S. Monakhovb

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 $p$-solvability of finite group in which Sylow $p$-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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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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