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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 10, Pages 12–16 (Mi ivm8097)  
This article is cited in 1 scientific paper (total in 1 paper)

Finite nilpotent groups with relatively large centralizers of noninvariant subgroups

V. A. Antonov, T. G. Nozhkina

Chair of General Mathematics, Southern Ural State University, Chelyabinsk, Russia
Full-text PDF (148 kB) Citations (1)
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Abstract: 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.
Keywords: group, noninvariant subgroup, centralizer, normalizer, index.
Received: 17.08.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 10, Pages 9–12
DOI: https://doi.org/10.3103/S1066369X11100021
Bibliographic databases:
Document Type: Article
UDC: 512.54
Language: Russian
Citation: V. A. Antonov, T. G. Nozhkina, “Finite nilpotent groups with relatively large centralizers of noninvariant subgroups”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 10, 12–16; Russian Math. (Iz. VUZ), 55:10 (2011), 9–12
Citation in format AMSBIB
\Bibitem{AntNoz11}
\by V.~A.~Antonov, T.~G.~Nozhkina
\paper Finite nilpotent groups with relatively large centralizers of noninvariant subgroups
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 10
\pages 12--16
\mathnet{http://mi.mathnet.ru/ivm8097}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2918332}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 10
\pages 9--12
\crossref{https://doi.org/10.3103/S1066369X11100021}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84856269207}
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  • https://www.mathnet.ru/eng/ivm/y2011/i10/p12
    • This publication is cited in the following 1 articles:
    1. V. A. Antonov, “On groups with relatively small normalizers of nonabelian subgroups”, Proc. Steklov Inst. Math. (Suppl.), 285, suppl. 1 (2014), S19–S24  mathnet  crossref  mathscinet  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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