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Abstract
Let G be a group and let x G be a left 3-Engel element of order dividing 60. Suppose furthermore that (x)G has no elements of order 8, 9 and 25. We show that x is then contained in the locally nilpotent radical of G. In particular, all the left 3-Engel elements of a group of exponent 60 are contained in the locally nilpotent radical.
Original language | English |
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Pages (from-to) | 673-695 |
Number of pages | 23 |
Journal | International Journal of Algebra and Computation |
Volume | 28 |
Issue number | 4 |
Early online date | 15 May 2018 |
DOIs | |
Publication status | Published - 1 Jun 2018 |
Keywords
- Left engel
- Nilpotent
- Presentation
ASJC Scopus subject areas
- General Mathematics
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Dive into the research topics of 'Left 3-Engel elements in groups of exponent 60'. Together they form a unique fingerprint.Projects
- 1 Finished
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Left 3-Engel Elements in Groups
Traustason, G. (PI)
Engineering and Physical Sciences Research Council
1/08/17 → 31/05/22
Project: Research council