Geodesic
On the solvability of a finite group with a pair of non-conjugate subgroups of primary indices
Problemy fiziki, matematiki i tehniki, no. 2 (2018), pp. 57-59

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The solvability of a finite group $G$ with two non-conjugate maximal subgroups $A$ and $B$ has been proved. It satisfies the following requirements: subgroups $A$ and $B$ have primary indices in $G$; all proper subgroups of $A$ and $B$ are supersoluble.
Keywords: finite group, maximal subgroup, supersoluble subgroup, non-conjugate subgroups, primary index.
Mots-clés : solvable group 
@article{PFMT_2018_2_a7,
     author = {V. S. Monakhov and D. A. Khadanovich},
     title = {On the solvability of a finite group with a pair of non-conjugate subgroups of primary indices},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {57--59},
     publisher = {mathdoc},
     number = {2},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2018_2_a7/}
}
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V. S. Monakhov; D. A. Khadanovich. On the solvability of a finite group with a pair of non-conjugate subgroups of primary indices. Problemy fiziki, matematiki i tehniki, no. 2 (2018), pp. 57-59. http://geodesic.mathdoc.fr/item/PFMT_2018_2_a7/