Geodesic
The $\mathfrak F$-length of finite groups
Matematičeskie zametki, Tome 19 (1976) no. 5, pp. 745-754.

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L. A. Shemetkov [1] defined the concept of the $p$-length of an arbitrary finite group, generalizing the concept of the $p$-length of a $p$-solvable finite group of Hall–Higman [2]. In this article we introduce a more general concept of the $\mathfrak F$-length of an arbitrary finite group with respect to a certain formation $\mathfrak F$, and bounds on $\mathfrak F$-lengths and $p$-lengths are given for arbitrary finite groups. 
@article{MZM_1976_19_5_a9,
     author = {V. I. Kharlamova},
     title = {The $\mathfrak F$-length of finite groups},
     journal = {Matemati\v{c}eskie zametki},
     pages = {745--754},
     publisher = {mathdoc},
     volume = {19},
     number = {5},
     year = {1976},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1976_19_5_a9/}
}
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V. I. Kharlamova. The $\mathfrak F$-length of finite groups. Matematičeskie zametki, Tome 19 (1976) no. 5, pp. 745-754. http://geodesic.mathdoc.fr/item/MZM_1976_19_5_a9/