Geodesic
Finite groups, whose primary subgroups are either $F$-subnormal or $F$-abnormal
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2011), pp. 46-55

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We study finite groups whose each primary subgroup is either subnormal or abnormal with respect to classes of all nilpotent, all $p$-closed, and all $p$-nilpotent groups. In particular, we completely describe these groups.
Keywords: primary groups, subnormality, abnormality, $p$-nilpotent groups. 
@article{IVM_2011_8_a6,
     author = {V. N. Semenchuk and S. N. Shevchuk},
     title = {Finite groups, whose primary subgroups are either $F$-subnormal or $F$-abnormal},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {46--55},
     publisher = {mathdoc},
     number = {8},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_8_a6/}
}
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V. N. Semenchuk; S. N. Shevchuk. Finite groups, whose primary subgroups are either $F$-subnormal or $F$-abnormal. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2011), pp. 46-55. http://geodesic.mathdoc.fr/item/IVM_2011_8_a6/