Geodesic
On supersolvability of a finite group with $Z$-supplements to the normalizers of Sylow subgroups
Problemy fiziki, matematiki i tehniki, no. 1 (2022), pp. 74-77

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We study a finite group in which the normalizer of each Sylow subgroup has a Hall supplement with cyclic Sylow subgroups. In particular, it is established that such groups are supersoluble.
Keywords: finite group, Sylow subgroup, normalizer, cyclic subgroup, supplement. 
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     author = {V. S. Monakhov and I. K. Chirik},
     title = {On supersolvability of a finite group with $Z$-supplements to the normalizers of {Sylow} subgroups},
     journal = {Problemy fiziki, matematiki i tehniki},
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     publisher = {mathdoc},
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     url = {http://geodesic.mathdoc.fr/item/PFMT_2022_1_a10/}
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V. S. Monakhov; I. K. Chirik. On supersolvability of a finite group with $Z$-supplements to the normalizers of Sylow subgroups. Problemy fiziki, matematiki i tehniki, no. 1 (2022), pp. 74-77. http://geodesic.mathdoc.fr/item/PFMT_2022_1_a10/