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Algebra and Discrete Mathematics, 2012, Volume 14, Issue 1, Pages 107–131 (Mi adm87)  

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

SURVEY ARTICLE

Invariants of finite solvable groups

Viktor Monakhova, Alexander Trofimukb

a Department of Mathematics, Gomel Francisk Skorina State University, Gomel 246019, Belarus
b Department of Mathematics, A. S. Pushkin Brest State University, Brest 224016, Belarus
Full-text PDF (271 kB) Citations (2)
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Abstract: The article contains the results about invariants of solvable groups with given structure of Sylow subgroups and information about the nilpotent $\pi$-length of $\pi$-solvable groups. Open questions are formulated.
Keywords: derived length, nilpotent lengths, $p$-length, $\pi$-length, nilpotent $\pi$-length, rank, $p$-rank, metacyclic group, bicyclic group, $\pi$-solvable group.
Received: 10.05.2012
Revised: 21.05.2012
Bibliographic databases:
Document Type: Article
MSC: 20D10
Language: English
Citation: Viktor Monakhov, Alexander Trofimuk, “Invariants of finite solvable groups”, Algebra Discrete Math., 14:1 (2012), 107–131
Citation in format AMSBIB
\Bibitem{MonTro12}
\by Viktor~Monakhov, Alexander~Trofimuk
\paper Invariants of finite solvable groups
\jour Algebra Discrete Math.
\yr 2012
\vol 14
\issue 1
\pages 107--131
\mathnet{http://mi.mathnet.ru/adm87}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3052324}
\zmath{https://zbmath.org/?q=an:1293.20014}
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  • https://www.mathnet.ru/eng/adm87
  • https://www.mathnet.ru/eng/adm/v14/i1/p107
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Algebra and Discrete Mathematics
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    Abstract page:450
    Full-text PDF :260
    References:68
    First page:1
     
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