TY - JOUR
AU - N. N. Vorob'ev
AU - A. A. Tsarev
PY - 2010/04/25
Y2 - 2023/12/08
TI - On the modularity of a lattice of $τ$-closed $n$-ultiply $ω$-composite formations
JF - Ukrains’kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 62
IS - 4
SE - Research articles
DO -
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/2879
AB - 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.
ER -