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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2010, Issue 1(2), Pages 63–81 (Mi pfmt155)  

This article is cited in 2 scientific papers (total in 2 papers)

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Invariants of finite solvable groups

V. S. Monakhov, A. A. Trofimuk

F. Skorina Gomel State University, Gomel
Full-text PDF (564 kB) Citations (2)
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Abstract: The review of the results connected with invariants of finite solvable groups is given in this article. These results adjoin to the researches of authors. Section 1 contains the list of used designations and definitions. The data about invariants of solvable groups with given structure of Sylow subgroups are collected in Section 2. The estimations of the invariants depending on indexes of the maximal subgroups are listed in Section 3. The information about nilpotent π-length of π-solvable groups are contained in Section 4. Open questions are formulated.
Keywords: solvable group, derived length, nilpotent length, p-length, π-length, nilpotent π-length, chief rank, p-rank.
Received: 15.02.2010
Document Type: Article
UDC: 517.542
Language: Russian
Citation: V. S. Monakhov, A. A. Trofimuk, “Invariants of finite solvable groups”, PFMT, 2010, no. 1(2), 63–81
Citation in format AMSBIB
\Bibitem{MonTro10}
\by V.~S.~Monakhov, A.~A.~Trofimuk
\paper Invariants of finite solvable groups
\jour PFMT
\yr 2010
\issue 1(2)
\pages 63--81
\mathnet{http://mi.mathnet.ru/pfmt155}
Linking options:
  • https://www.mathnet.ru/eng/pfmt155
  • https://www.mathnet.ru/eng/pfmt/y2010/i1/p63
  • This publication is cited in the following 2 articles:
    1. A. A. Trofimuk, D. D. Daudov, “Konechnye razreshimye gruppy s bitsiklicheskimi kofaktorami primarnykh podgrupp”, Tr. In-ta matem., 24:1 (2016), 95–99  mathnet
    2. A. V. Kukharev, G. E. Puninski, “Serial group rings of finite groups. Sporadic simple groups and Suzuki groups”, J. Math. Sci. (N. Y.), 219:4 (2016), 539–552  mathnet  crossref  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Проблемы физики, математики и техники
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    Abstract page:340
    Full-text PDF :143
    References:62
     
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