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PFMT, 2011, Issue 3(8), Pages 61–68 (Mi pfmt114)  

MATHEMATICS

Elements of the height 3 of the lattice of all $\tau$-closed $n$-multiply $\omega$-composition formations

P. A. Zhiznevsky

F. Skorina Gomel State University, Gomel

Abstract: In this paper elements of the height 3 of the lattice $ c^{\tau}_{\omega_n}$ of all $\tau$-closed $n$-multiply $\omega$-composition formations are described. It is proved that if $\mathfrak{F}$ is an element of the height 3 of the lattice $ c^{\tau}_{\omega_n}$, then the lattice of $\tau$-closed $n$-multiply $\omega$-composition subformations of $\mathfrak{F}$ is distributive.

Keywords: finite group, formation, $\omega$-composition satellite, $\tau$-closed $n$-multiply $\omega$-composition formation, height of formation

Full text: PDF file (423 kB)
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UDC: 512.542.6
Received: 26.05.2011

Citation: P. A. Zhiznevsky, “Elements of the height 3 of the lattice of all $\tau$-closed $n$-multiply $\omega$-composition formations”, PFMT, 2011, no. 3(8), 61–68

Citation in format AMSBIB
\Bibitem{Zhi11}
\by P.~A.~Zhiznevsky
\paper Elements of the height 3 of the lattice of all $\tau$-closed $n$-multiply $\omega$-composition formations
\jour PFMT
\yr 2011
\issue 3(8)
\pages 61--68
\mathnet{http://mi.mathnet.ru/pfmt114}


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