Right 4-Engel elements of a group

Details Right 4-Engel elements of a group Right 4-Engel elements of a group

2010-01-23

arxiv.org/abs/1001.4156v1

Mathematics

Group Theory

to appear in Journal of Algebra and its Applications; This paper has some overlaps with arXiv:0906.2439, however the proofs ar

Scientific paper

We prove that the set of right 4-Engel elements of a group $G$ is a subgroup
for locally nilpotent groups $G$ without elements of orders 2, 3 or 5; and in
this case the normal closure $^G$ is nilpotent of class at most 7 for each
right 4-Engel elements $x$ of $G$.

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