Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Commutator lengths in general linear group over a skew-field   We give an upper and lower estimate for the maximal commutator length of a
noncentral element of the elementary subgroup of the general linear group over
a skew-field based on the maximal commutator length of an element of the
multiplicative group of that skew-field.

36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph