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Abstract
Let G be a group and let x G be a left 3Engel 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 3Engel elements of a group of exponent 60 are contained in the locally nilpotent radical.
Original language  English 

Pages (fromto)  673695 
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
 Mathematics(all)
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Dive into the research topics of 'Left 3Engel elements in groups of exponent 60'. Together they form a unique fingerprint.Projects
 1 Finished

Left 3Engel Elements in Groups
Engineering and Physical Sciences Research Council
1/08/17 → 31/05/22
Project: Research council