Geodesic
On some groups from the formation of supersoluble finite groups
Problemy fiziki, matematiki i tehniki, no. 2 (2024), pp. 64-69

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In this work, for a maximal subgroup of a group $G$, the concept of an $n$-modularly embedded subgroup ($n$ is some natural number) is introduced. A criterion is established under which every maximal subgroup in $G$ is $n$-modularly embedded, as well as necessary and sufficient conditions under which in every subgroup $A$ of $G$ any maximal subgroup is $n$-modularly embedded in $A$ for some natural number $n$, $n\leqslant k$ ($k$ — fixed natural number).
Keywords: supersoluble group, maximal subgroup, $n$-modularly embedded subgroup, Schunck class. 
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     author = {T. I. Vasilyeva},
     title = {On some groups from the formation of supersoluble finite groups},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {64--69},
     publisher = {mathdoc},
     number = {2},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2024_2_a10/}
}
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T. I. Vasilyeva. On some groups from the formation of supersoluble finite groups. Problemy fiziki, matematiki i tehniki, no. 2 (2024), pp. 64-69. http://geodesic.mathdoc.fr/item/PFMT_2024_2_a10/