Geodesic
On $p$-supersolubility of a finite factorized group with prime indexes of factors
Problemy fiziki, matematiki i tehniki, no. 4 (2014), pp. 100-105

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Sufficient conditions for $p$-supersolubility of a finite group $G=AB$, where $A$ and $B$ have cyclic Sylow $p$-subgroups are received. In particular, the supersolubility of a finite group $G=AB$ providing that all Sylow subgroups of $A$ and $B$ arecyclic, and the indexes of $A$ and $B$ in the group $G$ are prime is proved.
Keywords: finite group, $p$-supersoluble group
Mots-clés : $p$-solvable group. 
@article{PFMT_2014_4_a14,
     author = {I. K. Chirik},
     title = {On $p$-supersolubility of a finite factorized group with prime indexes of factors},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {100--105},
     publisher = {mathdoc},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2014_4_a14/}
}
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I. K. Chirik. On $p$-supersolubility of a finite factorized group with prime indexes of factors. Problemy fiziki, matematiki i tehniki, no. 4 (2014), pp. 100-105. http://geodesic.mathdoc.fr/item/PFMT_2014_4_a14/