Geodesic
Lattices of subgroup and subsystem functors
Algebra i logika, Tome 45 (2006) no. 6, pp. 710-730.

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Lattices of subgroup and subsystem functors are investigated. In particular, it is proved that for the case where ${\mathcal X}$ is a formation of finite groups and width of the lattice $F_0({\mathcal X})$ is at most $|\pi ({\mathcal X})|$, the formation ${\mathcal X}$ is metanilpotent and $|\pi({\mathcal X})| \leqslant 3$.
Keywords: subsystem functor, subgroup functor, lattice of subsystem functors, lattice of subgroup functors. 
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W. Guo; A. N. Skiba; K. P. Sham. Lattices of subgroup and subsystem functors. Algebra i logika, Tome 45 (2006) no. 6, pp. 710-730. http://geodesic.mathdoc.fr/item/AL_2006_45_6_a3/

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