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Algebra and Discrete Mathematics, 2008, Issue 3, Pages 88–97 (Mi adm172)  
This article is cited in 2 scientific papers (total in 2 papers)

RESEARCH ARTICLE

On a question of A. N. Skiba about totally saturated formations

Vasily G. Safonov

Department of Mathematics, F. Skorina Gomel State University, Sovetskaya Str., 104, 246019 Gomel, Belarus
Full-text PDF (225 kB) Citations (2)
Abstract: It is proved that the lattice of $\tau$-closed totally saturated formations of finite groups is distributive. This is a solution of Question 4. 2. 15 proposed by A. N. Skiba in his monograph “Algebra of Formations” (1997).
Keywords: formation of finite groups, totally saturated formation, lattice of formations, $\tau$-closed formation.
Received: 17.12.2007
Revised: 14.10.2008
Bibliographic databases:
Document Type: Article
MSC: 20D10, 20F17
Language: English
Citation: Vasily G. Safonov, “On a question of A. N. Skiba about totally saturated formations”, Algebra Discrete Math., 2008, no. 3, 88–97
Citation in format AMSBIB
\Bibitem{Saf08}
\by Vasily~G.~Safonov
\paper On a~question of A.\,N.~Skiba about totally saturated formations
\jour Algebra Discrete Math.
\yr 2008
\issue 3
\pages 88--97
\mathnet{http://mi.mathnet.ru/adm172}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2477811}
\zmath{https://zbmath.org/?q=an:1164.20316}
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