Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A class of Bol loops with a subgroup of index two   Let $G$ be a finite group and $C_2$ the cyclic group of order 2. Consider the
8 multiplicative operations $(x,y)\mapsto (x^iy^j)^k$, where $i$, $j$,
$k\in\{-1, 1\}$. Define a new multiplication on $G\times C_2$ by assigning one
of the above 8 multiplications to each quarter
$(G\times\{i\})\times(G\times\{j\})$, for $i$, $j\in C_2$. We describe all
situations in which the resulting quasigroup is a Bol loop. This paper also
corrects an error in P. Vojt\v{e}chovsk\'y: On the uniqueness of loops
$M(G,2)$.

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The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th