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Sbornik: Mathematics, 2007, Volume 198, Issue 6, Pages 757–775
DOI: https://doi.org/10.1070/SM2007v198n06ABEH003859 (Mi sm1577) 		 
This article is cited in 8 scientific papers (total in 8 papers)

On partially saturated formations of finite groups

A. Ballester-Bolinchesa, C. Calvoa, L. A. Shemetkovb

a Universitat de València
b Francisk Skorina Gomel State University
English version PDF (338 kB) Citations (8)
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DOI: https://doi.org/10.1070/SM2007v198n06ABEH003859
Abstract: Various types of partially saturated formations and connections between them are considered. It is shown that partially saturated formations can be characterized as classes of finite groups with generalized central series. A theorem on the decomposition of an $FG$-module into a sum of two submodules with special properties is proved.
Bibliography: 26 titles.
Received: 24.05.2006 and 20.03.2007
Russian version:
Matematicheskii Sbornik, 2007, Volume 198, Number 6, Pages 3–24
DOI: https://doi.org/10.4213/sm1577
Bibliographic databases:
UDC: 512.542.6+512.553.8
MSC: 20D10
Language: English
Original paper language: Russian
Citation: A. Ballester-Bolinches, C. Calvo, L. A. Shemetkov, “On partially saturated formations of finite groups”, Mat. Sb., 198:6 (2007), 3–24; Sb. Math., 198:6 (2007), 757–775
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Russian version PDF:230
    English version PDF:22
    References:58
    First page:5
     
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