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Algebra and Discrete Mathematics, 2008, Issue 3, Pages 88–97
(Mi adm172)
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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
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
Citation:
Vasily G. Safonov, “On a question of A. N. Skiba about totally saturated formations”, Algebra Discrete Math., 2008, no. 3, 88–97
Linking options:
https://www.mathnet.ru/eng/adm172 https://www.mathnet.ru/eng/adm/y2008/i3/p88
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Abstract page: | 149 | Full-text PDF : | 78 | First page: | 1 |
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