Kamozina, O. V. Boolean lattices of multiply \(\Omega\)-foliated Fitting classes. (Russian. English summary) Zbl 1157.20304 Izv. Gomel. Gos. Univ. Im. F. Skoriny 2002, No. 5(14), Vopr. Algebry 18, 134-137 (2002). Summary: \(n\)-multiply \(\Omega\)-foliated Fitting classes with Boolean lattice of Fitting subclasses are described. The directions \(\varphi\) of these classes are assumed to be \(r\)-directions of segment \(\varphi\leq\psi_2'\). In this paper we consider only finite groups. Cited in 1 Document MSC: 20D10 Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks 06B15 Representation theory of lattices 20E15 Chains and lattices of subgroups, subnormal subgroups 20F17 Formations of groups, Fitting classes Keywords:Boolean lattices of Fitting classes × Cite Format Result Cite Review PDF