Geodesic
On finite $\pi$-soluble groups with no wide subgroups
Problemy fiziki, matematiki i tehniki, no. 1 (2016), pp. 63-67

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A subgroup $H$ of a finite group $G$ is said to be wide if each prime divisor of the order $G$ divides the order $H$. We obtain the description of finite $\pi$-soluble groups with no wide maximal subgroups with $\pi$-number indices. We also investigate groups with $\pi$-special subgroups.
Keywords: finite groups, $\pi$-soluble groups, nilpotent groups. 
@article{PFMT_2016_1_a10,
     author = {I. L. Sokhor},
     title = {On finite $\pi$-soluble groups with no wide subgroups},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {63--67},
     publisher = {mathdoc},
     number = {1},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2016_1_a10/}
}
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I. L. Sokhor. On finite $\pi$-soluble groups with no wide subgroups. Problemy fiziki, matematiki i tehniki, no. 1 (2016), pp. 63-67. http://geodesic.mathdoc.fr/item/PFMT_2016_1_a10/