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Sibirskii Matematicheskii Zhurnal, 2017, Volume 58, Number 2, Pages 353–364
DOI: https://doi.org/10.17377/smzh.2017.58.209 (Mi smj2864) 		 
This article is cited in 19 scientific papers (total in 19 papers)

On the supersoluble residual of a product of subnormal supersoluble subgroups

V. S. Monakhova, I. K. Chirikb

a Francisk Skorina Gomel State University, Gomel, Belarus
b Gomel Engineering Institute of the Ministry for Emergency Situations of the Republic of Belarus, Gomel, Belarus
Full-text PDF (322 kB) Citations (19)
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DOI: https://doi.org/10.17377/smzh.2017.58.209
Abstract: We give a sufficient condition for supersolubility of a finite group that is a product of two subnormal supersoluble subgroups. We prove that the supersoluble residual of such a group is equal to its nilpotent residual. Also we apply these results to finite groups that are a product of two subnormal $p$-supersoluble subgroups.
Keywords: finite group, supersoluble group, subnormal subgroup, residual, commutator subgroup.
Received: 06.04.2016
English version:
Siberian Mathematical Journal, 2017, Volume 58, Issue 2, Pages 271–280
DOI: https://doi.org/10.1134/S0037446617020094
Bibliographic databases:
Document Type: Article
UDC: 512.542
MSC: 35R30
Language: Russian
Citation: V. S. Monakhov, I. K. Chirik, “On the supersoluble residual of a product of subnormal supersoluble subgroups”, Sibirsk. Mat. Zh., 58:2 (2017), 353–364; Siberian Math. J., 58:2 (2017), 271–280
Citation in format AMSBIB
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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