Geodesic
Finite nilpotent groups with relatively large centralizers of noninvariant subgroups
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2011), pp. 12-16

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We study groups where every noninvariant subgroup satisfies the following condition: the index of the product of this subgroup and its centralizer in the normalizer of this subgroup divides prime number fixed for the given group. We fully describe two-step nilpotent $p$-groups with the mentioned property.
Mots-clés : group
Keywords: noninvariant subgroup, centralizer, normalizer, index. 
@article{IVM_2011_10_a1,
     author = {V. A. Antonov and T. G. Nozhkina},
     title = {Finite nilpotent groups with relatively large centralizers of noninvariant subgroups},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {12--16},
     publisher = {mathdoc},
     number = {10},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_10_a1/}
}
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V. A. Antonov; T. G. Nozhkina. Finite nilpotent groups with relatively large centralizers of noninvariant subgroups. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2011), pp. 12-16. http://geodesic.mathdoc.fr/item/IVM_2011_10_a1/