Geodesic
Products of Fitting Classes of Finite Groups
Matematičeskie zametki, Tome 75 (2004) no. 2, pp. 269-276

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Fitting classes are considered. In particular, it is shown that a product of $n$-multiply $\omega$-local Fitting classes is an $n$-multiply $\omega$-local Fitting class. 
@article{MZM_2004_75_2_a9,
     author = {O. V. Syromolotova},
     title = {Products of {Fitting} {Classes} of {Finite} {Groups}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {269--276},
     publisher = {mathdoc},
     volume = {75},
     number = {2},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2004_75_2_a9/}
}
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O. V. Syromolotova. Products of Fitting Classes of Finite Groups. Matematičeskie zametki, Tome 75 (2004) no. 2, pp. 269-276. http://geodesic.mathdoc.fr/item/MZM_2004_75_2_a9/