Geodesic
Non-singly-generated multiply $\omega$-fan fitting classes of finite groups
Matematičeskie zametki, Tome 79 (2006) no. 3, pp. 396-408

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In the paper, we study algebraic lattices of Fitting classes and describe non-singly-generated Fitting classes all of whose proper Fitting subclasses are singly generated. All groups under consideration are assumed finite. 
@article{MZM_2006_79_3_a6,
     author = {O. V. Kamozina},
     title = {Non-singly-generated multiply $\omega$-fan fitting classes of finite groups},
     journal = {Matemati\v{c}eskie zametki},
     pages = {396--408},
     publisher = {mathdoc},
     volume = {79},
     number = {3},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2006_79_3_a6/}
}
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O. V. Kamozina. Non-singly-generated multiply $\omega$-fan fitting classes of finite groups. Matematičeskie zametki, Tome 79 (2006) no. 3, pp. 396-408. http://geodesic.mathdoc.fr/item/MZM_2006_79_3_a6/