Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Engel elements in generalized FC-groups   We generalize to FC*, the class of generalized FC-groups introduced in [F. de
Giovanni, A. Russo, G. Vincenzi, Groups with restricted conjugacy classes,
Serdica Math. J. 28 (2002), 241-254], a result of Baer on Engel elements. More
precisely, we prove that the sets of left Engel elements and bounded left Engel
elements of an FC*-group G coincide with the Fitting subgroup; whereas the sets
of right Engel elements and bounded right Engel elements of G are subgroups and
the former coincides with the hypercentre. We also give an example of an
FC*-group for which the set of right Engel elements contains properly the set
of bounded right Engel elements.

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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: cs
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The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin