Two Observations on Groups with Engel Elements
- Authors: Sozutov A.I.1
-
Affiliations:
- Siberian Federal University
- Issue: Vol 60, No 6 (2019)
- Pages: 1099-1100
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172793
- DOI: https://doi.org/10.1134/S003744661906017X
- ID: 172793
Cite item
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?”
About the authors
A. I. Sozutov
Siberian Federal University
Author for correspondence.
Email: sozutov_ai@mail.ru
Russian Federation, Krasnoyarsk
![](/img/style/loading.gif)