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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.

MSC: 20D10, 20F17

Received: 15.10.2007
Revised: 15.07.2008

Language: English

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