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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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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/

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