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Algebra and Discrete Mathematics, 2008, Issue 2, Pages 109–122 (Mi adm163)  

This article is cited in 1 scientific paper (total in 1 paper)

RESEARCH ARTICLE

On $\tau$-closed totally saturated group formations with Boolean sublattices

Vasily G. Safonov

Department of Mathematics, F. Scorina Gomel State University, Sovetskaya Str., 104, 246019 Gomel, Belarus
Full-text PDF (244 kB) Citations (1)
Abstract: In the universe of finite groups the description of $\tau$-closed totally saturated formations with Boolean sublattices of $\tau$-closed totally saturated subformations is obtained. Thus, we give a solution of Question 4.3.16 proposed by A. N. Skiba in his monograph “Algebra of Formations” (1997).
Keywords: finite group, formation, totally saturated formation, lattice of formations, $\tau$-closed formation.
Received: 15.10.2007
Revised: 15.07.2008
Bibliographic databases:
Document Type: Article
MSC: 20D10, 20F17
Language: English
Citation: Vasily G. Safonov, “On $\tau$-closed totally saturated group formations with Boolean sublattices”, Algebra Discrete Math., 2008, no. 2, 109–122
Citation in format AMSBIB
\Bibitem{Saf08}
\by Vasily~G.~Safonov
\paper On $\tau$-closed totally saturated group formations with Boolean sublattices
\jour Algebra Discrete Math.
\yr 2008
\issue 2
\pages 109--122
\mathnet{http://mi.mathnet.ru/adm163}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2484596}
\zmath{https://zbmath.org/?q=an:1164.20315}
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