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This article is cited in 3 scientific papers (total in 3 papers)
Groups with finite Engel element
A. I. Sozutov Siberian Federal University, Krasnoyarsk
Abstract:
We prove that in an arbitrary group, the normal closure of a finite
Engel element with Artinian centralizer is a locally nilpotent
Cěrnikov subgroup, thereby generalizing the Baer–Suzuki
theorem, Blackburn's and Shunkov's theorems.
Keywords:
Engel element, finite element, locally nilpotent radical, Artinian
group, Cěrnikov group, $D$-subgroup.
Received: 21.05.2018 Revised: 24.09.2019
Citation:
A. I. Sozutov, “Groups with finite Engel element”, Algebra Logika, 58:3 (2019), 376–396; Algebra and Logic, 58:3 (2019), 254–267
Linking options:
https://www.mathnet.ru/eng/al902 https://www.mathnet.ru/eng/al/v58/i3/p376
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Abstract page: | 219 | Full-text PDF : | 25 | References: | 19 | First page: | 5 |
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