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Algebra i logika, 2019, Volume 58, Number 3, Pages 376–396
DOI: https://doi.org/10.33048/alglog.2019.58.307 (Mi al902) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Groups with finite Engel element

A. I. Sozutov

Siberian Federal University, Krasnoyarsk
Full-text PDF (274 kB) Citations (3)
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DOI: https://doi.org/10.33048/alglog.2019.58.307
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.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00566_a
A. I. Sozutov Supported by RFBR, project no. 19-01-00566-a.
Received: 21.05.2018
Revised: 24.09.2019
English version:
Algebra and Logic, 2019, Volume 58, Issue 3, Pages 254–267
DOI: https://doi.org/10.1007/s10469-019-09544-0
Bibliographic databases:
Document Type: Article
UDC: 512.544
Language: Russian
Citation: A. I. Sozutov, “Groups with finite Engel element”, Algebra Logika, 58:3 (2019), 376–396; Algebra and Logic, 58:3 (2019), 254–267
Citation in format AMSBIB
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\pages 376--396
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и логика Algebra and Logic
     
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