Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2008, Number 2, Pages 106–109 (Mi basm23)  
Short communications

Groups with many hypercentral subgroups

O. D. Artemovycha, L. V. Skaskivb

a Institute of Mathematics, Cracow University of Technology, Poland
b Department of Algebra and Logic, Faculty of Mechanics and Mathematics, Ivan Franko National University of Lviv, Ukraine
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Abstract: We obtain a characterization of solvable groups with the minimal condition on non-hypercentral (respectively non-nilpotent) subgroups.
Keywords and phrases: Hypercentral group, nilpotent group, $HM^*$-group, minimal.
Received: 19.11.2007
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Document Type: Article
MSC: 20F16, 20F19, 20F22
Language: English
Citation: O. D. Artemovych, L. V. Skaskiv, “Groups with many hypercentral subgroups”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2008, no. 2, 106–109
Citation in format AMSBIB
\Bibitem{ArtSka08}
\by O.~D.~Artemovych, L.~V.~Skaskiv
\paper Groups with many hypercentral subgroups
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2008
\issue 2
\pages 106--109
\mathnet{http://mi.mathnet.ru/basm23}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2435805}
\zmath{https://zbmath.org/?q=an:1154.20032}
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