Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Torsion Generating Set Of The Extended Mapping Class Groups In Low
  Genus Cases   We prove that for genus $g=3,4$, the extended mapping class group
$\text{Mod}^{\pm}(S_g)$ can be generated by two elements of finite orders. But
for $g=1$, $\text{Mod}^{\pm}(S_1)$ cannot be generated by two elements of
finite orders.

11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
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The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th