Geodesic
Finite groups with decomposable cofactors of maximal subgroups
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 4, pp. 181-188
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A finite group with a nilpotent $\pi$-Hall subgroup and $\pi$-decomposable cofactors of maximal subgroups is studied. It is established that the quotient of this group by the Fitting subgroup is $\pi$-decomposable, which implies that a finite group with nilpotent cofactors of maximal subgroups is metanilpotent.
Keywords: finite group, maximal subgroup, cofactor.
Mots-clés : $p$-solvable group 
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I. V. Lemeshev; V. S. Monakhov. Finite groups with decomposable cofactors of maximal subgroups. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 4, pp. 181-188. http://geodesic.mathdoc.fr/item/TIMM_2011_17_4_a18/

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