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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 6, Pages 1270–1281 (Mi smj2160)  
This article is cited in 78 scientific papers (total in 78 papers)

On the finite groups of supersoluble type

A. F. Vasil'eva, T. I. Vasil'evab, V. N. Tyutyanova

a Francisk Skaryna Gomel State University, Gomel, Belarus
b Belarusian State University of Transport, Gomel, Belarus
Full-text PDF (329 kB) Citations (78)
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Abstract: We study the properties of finite groups in which every Sylow subgroup can be connected to the group by a chain of subgroups of prime indices. We establish the solubility of this type of groups. We prove that the class of all finite groups with this property of Sylow subgroups is a saturated hereditary formation. For these groups we find some analogs of the available theorems on the products of normal supersoluble subgroups.
Keywords: finite group, $\mathbb P$-subnormal subgroup, w-supersoluble group, saturated formation.
Received: 29.10.2009
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 6, Pages 1004–1012
DOI: https://doi.org/10.1007/s11202-010-0099-z
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: A. F. Vasil'ev, T. I. Vasil'eva, V. N. Tyutyanov, “On the finite groups of supersoluble type”, Sibirsk. Mat. Zh., 51:6 (2010), 1270–1281; Siberian Math. J., 51:6 (2010), 1004–1012
Citation in format AMSBIB
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    • This publication is cited in the following 78 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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