Geodesic
On solvability of a group with hall supplements to normalizers of isolated subgroups
Problemy fiziki, matematiki i tehniki, no. 3 (2016), pp. 35-39

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Let $G$ be finite group and $p\in\pi(G)$. Suppose that for all $q\in\pi(G)\setminus\{p\}$ normalizer Sylow $q$-subgroups has nilpotent Hall supplement. Under these assumptions, prove that $G$ is solvable.
Keywords: finite group, nilpotent group, Hall subgroup, Sylow subgroup, normalizer.
Mots-clés : soluble group 
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     author = {T. V. Borodich},
     title = {On solvability of a group with hall supplements to normalizers of isolated subgroups},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {35--39},
     publisher = {mathdoc},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2016_3_a4/}
}
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T. V. Borodich. On solvability of a group with hall supplements to normalizers of isolated subgroups. Problemy fiziki, matematiki i tehniki, no. 3 (2016), pp. 35-39. http://geodesic.mathdoc.fr/item/PFMT_2016_3_a4/