Lattices of composition formations of finite groups and the laws

Please use this identifier to cite or link to this item: https://rep.vsu.by/handle/123456789/36545

Title:	Lattices of composition formations of finite groups and the laws
Authors:	Tsarev, A. A. Vorob`ev, N. N.
Keywords:	Subgroup functor formation of groups τ-closed n-multiply ω-composition formation law of a lattice distributive lattice X-separated lattice of formations
Issue Date:	2018
Publisher:	World Scientific Publishing Co. Pte Ltd
Citation:	Tsarev, A. A. Lattices of composition formations of finite groups and the laws / A. A. Tsarev, N. N. Vorob’ev // Journal of Algebra and its Applications. – 2018. – Vol. 16, № 2. – P. 1850084.
Series/Report no.:	Journal of Algebra and its Applications;Vol. 16, № 2
Abstract:	We prove that every law of the lattice of all τ-closed formations of finite groups is fulfilled in the lattice of all τ-closed n-multiply ω-composition formations of finite groups for every non-empty set of primes ω and every non-negative integer n. Let n ≥ 0 and ω be an infinite set of primes. It is proved that the lattice of all τ-closed n-multiply ω-composition formations is not distributive.
URI:	https://rep.vsu.by/handle/123456789/36545
ISSN:	0219-4988
Appears in Collections:	Научные публикации (2018)