Geodesic
On one class of finite supersoluble groups
Problemy fiziki, matematiki i tehniki, no. 1 (2011), pp. 62-64 Cet article a éte moissonné depuis la source Math-Net.Ru

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The following theorem is proved. Theorem. If in a non-identity finite group $G$ every primitive subgroup has a prime power index, then $G=[D]H$, where $D$ and $H$ are Hall nilpotent subgroups of $G$ and $D$ coincides with the $\mathfrak{N}$-residual $G^{\mathfrak{N}}$ of $G$.
Keywords: primitive subgroups, finite group, supersoluble group, nilpotent group.
Mots-clés : soluble group 
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N. S. Kosenok. On one class of finite supersoluble groups. Problemy fiziki, matematiki i tehniki, no. 1 (2011), pp. 62-64. http://geodesic.mathdoc.fr/item/PFMT_2011_1_a9/

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