Geodesic
On Fitting subgroups of a~finite solvable group
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 3, pp. 242-246

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The dependence of the rank and derived length of a finite solvable group on the maximum of the indices of Fitting subgroups in their normal closures is established. Examples showing the accuracy of the obtained estimates are constructed.
Mots-clés : solvable group
Keywords: Fitting subgroup, $A_4$-free group, derived length, nilpotent length, $p$-length. 
@article{TIMM_2012_18_3_a27,
     author = {A. A. Trofimuk},
     title = {On {Fitting} subgroups of a~finite solvable group},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {242--246},
     publisher = {mathdoc},
     volume = {18},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2012_18_3_a27/}
}
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A. A. Trofimuk. On Fitting subgroups of a~finite solvable group. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 3, pp. 242-246. http://geodesic.mathdoc.fr/item/TIMM_2012_18_3_a27/