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MATHEMATICS

On non-distributivity of the lattice of all $n$-multiply $\omega$-composition formations

A. A. Tsarev

P.M. Masherov Vitebsk State University, Vitebsk

Abstract: Let $n \ge 0$ and $\omega$ be an infinite set of primes. It is proved that the lattice of all $\tau$-closed $n$-multiply $\omega$-composition formations is not distributive.

Keywords: finite group, formation of groups, $\omega$-composition satellite of formation, non-distributive lattice.

UDC: 512.547

Received: 15.08.2011