On The Modularity of Lattice of τ-Closed n-Multiply ω-Composite Formations

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Title:	On The Modularity of Lattice of τ-Closed n-Multiply ω-Composite Formations
Authors:	Vorob`ev, N. N. Tsarev, A. A.
Keywords:	Fitting class formation of groups
Issue Date:	2010
Publisher:	Springer New York Consultants Bureau
Citation:	Vorob’ev, N. N. On The Modularity of Lattice of τ-Closed n-Multiply ω-Composite Formations / N. N. Vorob’ev, A. A. Tsarev // Ukrainian Mathematical Journal. – 2010. – Vol. 62, № 4. – Р. 518–529.
Series/Report no.:	Ukrainian Mathematical Journal;Vol. 62, № 4
Abstract:	Let n ≥ 0 , let ω be a nonempty set of prime numbers and let τ be a subgroup functor (in Skiba’s sense) such that all subgroups of any finite group G contained in τ (G) are subnormal in G. It is shown that the lattice of all τ-closed n-multiply ω-composite formations is algebraic and modular.
URI:	https://rep.vsu.by/handle/123456789/36558
ISSN:	0041-5995
Appears in Collections:	Научные публикации (2010)