Bul. Acad. Ştiinţe Repub. Mold. Mat., 2008 Number 2, Pages 106–109
(Mi basm23)
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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
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.
MSC: 20F16,
20F19,
20F22 Received: 19.11.2007
Language: English
© , 2024
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