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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 3, Pages 23–25
(Mi timm834)
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This article is cited in 1 scientific paper (total in 1 paper)
Three S. N. Chernikov's questions
N. S. Chernikov Institute of Mathematics, National Academy of Sciences of Ukraine, Kuiv, Ukraine
Abstract:
The author shows: the class of all periodic non-locally finite and non-locally nilpotent $FNN$-groups is non-empty and wide; an arbitrary binary graded $\overline{IH}$-group is solvable. At the same time, the author solves three natural S. N. Chernikov's questions. Also the author establishes that a non-Chernikov non-abelian group with normal such subgroups is solvable iff it is binary graded.
Keywords:
an $FNN$-group, a locally nilpotent group, a locally finite group, a locally graded group, a binary graded group.
Received: 27.12.2011
Citation:
N. S. Chernikov, “Three S. N. Chernikov's questions”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 3, 2012, 23–25
Linking options:
https://www.mathnet.ru/eng/timm834 https://www.mathnet.ru/eng/timm/v18/i3/p23
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Abstract page: | 164 | Full-text PDF : | 60 | References: | 28 | First page: | 3 |
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