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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 1, Pages 185–191 (Mi smj15)  
This article is cited in 11 scientific papers (total in 11 papers)

Characterization of the soluble one-generated totally saturated formations of finite groups

V. G. Safonov

Francisk Skorina Gomel State University
Full-text PDF (195 kB) Citations (11)
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Abstract: We prove that the finite length condition for the lattice of $\tau$-closed totally saturated subformations of a $\tau$-closed totally saturated formation is equivalent to the finite length condition for this lattice, and it is also equivalent for the formation to be soluble and one-generated.
Keywords: formation of finite groups, totally saturated formation, lattice of formations, $\tau$-closed formation, one-generated formation.
Received: 30.11.2005
English version:
Siberian Mathematical Journal, 2007, Volume 48, Issue 1, Pages 150–155
DOI: https://doi.org/10.1007/s11202-007-0015-3
Bibliographic databases:
UDC: 512.542
Language: Russian
Citation: V. G. Safonov, “Characterization of the soluble one-generated totally saturated formations of finite groups”, Sibirsk. Mat. Zh., 48:1 (2007), 185–191; Siberian Math. J., 48:1 (2007), 150–155
Citation in format AMSBIB
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    • This publication is cited in the following 11 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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