Two Observations on Groups with Engel Elements
- Autores: Sozutov A.1
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Afiliações:
- Siberian Federal University
- Edição: Volume 60, Nº 6 (2019)
- Páginas: 1099-1100
- Seção: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172793
- DOI: https://doi.org/10.1134/S003744661906017X
- ID: 172793
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Resumo
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?”
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Sobre autores
A. Sozutov
Siberian Federal University
Autor responsável pela correspondência
Email: sozutov_ai@mail.ru
Rússia, Krasnoyarsk