Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A left $3$-Engel element whose normal closure is not nilpotent   We give an example of a locally nilpotent group $G$ containing a left
$3$-Engel element $x$ where $\langle x\rangle^{G}$ is not nilpotent.

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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph