×

Boolean lattices of multiply \(\Omega\)-foliated Fitting classes. (Russian. English summary) Zbl 1157.20304

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.

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