RESEARCH ARTICLE

On $\tau$-closed $n$-multiply $\omega$-composition formations with Boolean sublattices

P. A. Zhiznevsky

Mathematics Department, Francisk Scorina Gomel State University, Sovetskaya Str., 104, 246019 Gomel, Belarus

Abstract: In the universe of finite groups the description of $\tau$-closed $n$-multiply $\omega$-composition formations with Boolean sublattices of $\tau$-closed $n$-multiply $\omega$-composition subformations is obtained.

Keywords: finite group, formation, $\tau$-closed $n$-multiply $\omega$-composition formation, Boolean lattice, complemented lattice.

MSC: 20D10, 20F17

Language: English

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