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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     author = {I. V. Lemeshev and V. S. Monakhov},
     title = {Finite groups with decomposable cofactors of maximal subgroups},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {181--188},
     publisher = {mathdoc},
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     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2011_17_4_a18/}
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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/