Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coprime graph of subgroups of a group   Let $G$ be a group. We define the coprime graph of subgroups of $G$, denoted
by $\mathcal P(G)$, is a graph whose vertex set is the set of all proper
subgroups of $G$, and two distinct vertices are adjacent if and only if the
order of the corresponding subgroups are coprime. In this paper, we study some
connections between algebraic properties of a group and graph theoretic
properties of its coprime graph.

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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys