Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nielsen equivalence in Gupta-Sidki groups   For a group $G$ generated by $k$ elements, the Nielsen equivalence classes
are defined as orbits of the action of $\operatorname{Aut} F_k$, the
automorphism group of the free group of rank $k$, on the set of generating
$k$-tuples of $G$.
  Let $p\geq 3$ be prime and $G_p$ the Gupta-Sidki $p$-group. We prove that
there are infinitely many Nielsen equivalence classes on generating pairs of
$G_p$.

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The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci