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Mat. Zametki, 2002, Volume 72, Issue 2, Pages 269–282 (Mi mz421)  

This article is cited in 3 scientific papers (total in 3 papers)

Critical $\Omega$-Fiber Formations of Finite Groups

M. M. Sorokina, N. V. Silenok

I. G. Petrovsky Bryansk State Pedagogical University

Abstract: Let $\mathfrak H$ be a class of finite groups. An $\Omega$-fiber formation $\mathfrak F$ of finite groups with direction $\varphi $ is said to be a minimal $\Omega$-fiber non-$\mathfrak H$-formation with direction $\varphi $, or briefly an $\mathfrak H_\Omega $-critical formation, if $\mathfrak F\nsubseteq \mathfrak H$, but any proper $\Omega$-fiber subformation with direction $\varphi $ in $\mathfrak F$ belongs to the class $\mathfrak H$. In the paper, a complete description of the structure of minimal $\Omega$-fiber non-$\mathfrak H$-formations of finite groups of two different directions is given.

DOI: https://doi.org/10.4213/mzm421

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English version:
Mathematical Notes, 2002, 72:2, 241–252

Bibliographic databases:

UDC: 512.542
Received: 28.07.2001

Citation: M. M. Sorokina, N. V. Silenok, “Critical $\Omega$-Fiber Formations of Finite Groups”, Mat. Zametki, 72:2 (2002), 269–282; Math. Notes, 72:2 (2002), 241–252

Citation in format AMSBIB
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\paper Critical $\Omega$-Fiber Formations of Finite Groups
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. M. M. Sorokina, M. A. Korpacheva, “On critical $\Omega$-fibered formations of finite groups”, Discrete Math. Appl., 16:3 (2006), 289–298  mathnet  crossref  crossref  mathscinet  zmath  elib
    2. M. A. Korpacheva, M. M. Sorokina, “The critical $\omega$-foliated $\tau$-closed formations of finite groups”, Discrete Math. Appl., 21:1 (2011), 69–77  mathnet  crossref  crossref  mathscinet  elib
    3. Korpacheva M.A., Sorokina M.M., “Kriticheskie”, Vestnik Bryanskogo gosudarstvennogo universiteta, 2011, no. 4, 19–22  elib
  • Математические заметки Mathematical Notes
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