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Algebra and Discrete Mathematics, 2008, Issue 2, Pages 109–122
(Mi adm163)
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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
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
Citation:
Vasily G. Safonov, “On $\tau$-closed totally saturated group formations with Boolean sublattices”, Algebra Discrete Math., 2008, no. 2, 109–122
Linking options:
https://www.mathnet.ru/eng/adm163 https://www.mathnet.ru/eng/adm/y2008/i2/p109
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