Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Half-automorphism group of a class of Bol loops   A Bol loop is a loop that satisfies the Bol identity $(xy.z)y=x(yz.y)$. If
$L$ is a loop and $f:L\to L$ is a bijection such that
$f(xy)\in\{f(x)f(y),f(y)f(x)\}$, for every $x$, $y\in L$, then $f$ is called a
half-automorphism of $L$. In this paper, we describe the half-automorphism
group of a class of Bol loops of order $4m$.

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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: physics
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom