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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 3, Pages 242–246 (Mi timm858)  
This article is cited in 2 scientific papers (total in 2 papers)

On Fitting subgroups of a finite solvable group

A. A. Trofimuk

A. S. Pushkin Brest State University
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Abstract: The dependence of the rank and derived length of a finite solvable group on the maximum of the indices of Fitting subgroups in their normal closures is established. Examples showing the accuracy of the obtained estimates are constructed.
Keywords: solvable group, Fitting subgroup, $A_4$-free group, derived length, nilpotent length, $p$-length.
Received: 28.01.2012
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: A. A. Trofimuk, “On Fitting subgroups of a finite solvable group”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 3, 2012, 242–246
Citation in format AMSBIB
\Bibitem{Tro12}
\by A.~A.~Trofimuk
\paper On Fitting subgroups of a~finite solvable group
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2012
\vol 18
\issue 3
\pages 242--246
\mathnet{http://mi.mathnet.ru/timm858}
\elib{https://elibrary.ru/item.asp?id=17937030}
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  • https://www.mathnet.ru/eng/timm/v18/i3/p242
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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