This article is cited in 1 paper

On complete sublattices of formations of finite groups

N. N. Vorob'ev

P.M. Masherov Vitebsk State University, 33 Moscow Ave., Vitebsk, 2100 Republic of Belarus

Abstract: We prove that the lattice of all $\tau$-closed saturated formations of finite groups is a complete sublattice of the lattice of all $\tau$-closed solubly saturated formations of finite groups.

Keywords: finite group, formation of groups, subgroup functor, $\tau$-closed formation, saturated formation, solubly saturated formation, complete lattice of formations, complete sublattice.

UDC: 512.542

Received: 03.09.2016

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2018, 62:1, 17–22

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