This article is cited in 13 papers

Laws of the lattices of partially composition formations

N. N. Vorob'ev^a, A. N. Skiba^b, A. A. Tsarev<sup>a

a</sup> Masherov Vitebsk State University, Vitebsk, Belarus
^b Francisk Skorina Gomel State University, Gomel, Belarus

Abstract: We prove that every law of the lattice of all formations of finite groups is fulfilled in the lattice of all $n$-multiply $\omega$-composition formations of finite groups for every nonempty set of primes $\omega$ and every natural $n$.

Keywords: finite group, formation of groups, $\omega$-composition satellite of a formation, $n$-multiply $\omega$-composition formation, lattice of formations, law of a lattice, modular lattice, inductive lattice of formations, $\mathfrak X$-separated lattice of formations.

UDC: 512.552

Received: 21.10.2010

 English version: Siberian Mathematical Journal, 2011, 52:5, 802–812

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