Geodesic
On the Distributivity and Modularity Properties of the Lattice of Fitting Classes
Matematičeskie zametki, Tome 110 (2021) no. 5, pp. 658-671

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that the lattice of all Fitting classes of finite groups is not distributive, and conditions under which Fitting classes satisfy the distributive and modular laws are determined.
Keywords: Fitting class, $\mathfrak{F}$-radical, lattice of Fitting classes, modular and distributive laws. 
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     author = {N. T. Vorob'ev and E. D. Lantsetova},
     title = {On the {Distributivity} and {Modularity} {Properties} of the {Lattice} of {Fitting} {Classes}},
     journal = {Matemati\v{c}eskie zametki},
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N. T. Vorob'ev; E. D. Lantsetova. On the Distributivity and Modularity Properties of the Lattice of Fitting Classes. Matematičeskie zametki, Tome 110 (2021) no. 5, pp. 658-671. http://geodesic.mathdoc.fr/item/MZM_2021_110_5_a1/