Том 71
№ 11

All Issues

Tsarev A. A.

Articles: 1
Article (Russian)

On the modularity of a lattice of $τ$-closed $n$-ultiply $ω$-composite formations

Tsarev A. A., Vorob'ev N. N.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2010. - 62, № 4. - pp. 453–463

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.