Geodesic
On Sylow tower of finite group with subnormal non-cyclic primary subgroups
Problemy fiziki, matematiki i tehniki, no. 4 (2013), pp. 68-71

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Let $G$ be a finite group such that every non-cyclic maximal subgroups in its Sylow subgroups are subnormal in $G$. Suppose that a Sylow 2-subgroup of $G$ is either cyclic or self-normalizing. Under these assumptions, we prove that $G$ has a Sylow tower.
Keywords: finite group, Sylow subgroup, maximal subgroup, cyclic subgroup, subnormal subgroup, normalizer. 
@article{PFMT_2013_4_a11,
     author = {V. S. Monakhov and A. A. Trofimuk},
     title = {On {Sylow} tower of finite group with subnormal non-cyclic primary subgroups},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {68--71},
     publisher = {mathdoc},
     number = {4},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2013_4_a11/}
}
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V. S. Monakhov; A. A. Trofimuk. On Sylow tower of finite group with subnormal non-cyclic primary subgroups. Problemy fiziki, matematiki i tehniki, no. 4 (2013), pp. 68-71. http://geodesic.mathdoc.fr/item/PFMT_2013_4_a11/