On complete sublattices of formations of finite groups
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2018), pp. 21-26
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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.
@article{IVM_2018_1_a2,
author = {N. N. Vorob'ev},
title = {On complete sublattices of formations of finite groups},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {21--26},
publisher = {mathdoc},
number = {1},
year = {2018},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2018_1_a2/}
}
N. N. Vorob'ev. On complete sublattices of formations of finite groups. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2018), pp. 21-26. http://geodesic.mathdoc.fr/item/IVM_2018_1_a2/