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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 1, Pages 21–26
(Mi ivm9315)
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This article is cited in 1 scientific paper (total 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.
Received: 03.09.2016
Citation:
N. N. Vorob'ev, “On complete sublattices of formations of finite groups”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 1, 21–26; Russian Math. (Iz. VUZ), 62:1 (2018), 17–22
Linking options:
https://www.mathnet.ru/eng/ivm9315 https://www.mathnet.ru/eng/ivm/y2018/i1/p21
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