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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 6, Pages 1411–1413
DOI: https://doi.org/10.33048/smzh.2019.60.617 (Mi smj3158) 		 
Two observations on groups with engel elements

A. I. Sozutov

Siberian Federal University, Krasnoyarsk
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DOI: https://doi.org/10.33048/smzh.2019.60.617
Abstract: We answer (in the negative) Questions 16.15(a) and 17.3 of The Kourovka Notebook: “Is the set of all restricted Engel elements a subgroup in every group?” and “Is it true that a group is binary nilpotent if any 4-element subset therein contains two elements generating a nilpotent subgroup?”
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00566_а
The author was supported by the Russian Foundation for Basic Research (Grant 19—01—00566 A).
Received: 07.12.2018
Revised: 06.03.2019
Accepted: 12.03.2019
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 6, Pages 1099–1100
DOI: https://doi.org/10.1134/S003744661906017X
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: A. I. Sozutov, “Two observations on groups with engel elements”, Sibirsk. Mat. Zh., 60:6 (2019), 1411–1413; Siberian Math. J., 60:6 (2019), 1099–1100
Citation in format AMSBIB
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    		Сибирский математический журнал Siberian Mathematical Journal
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