Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Chebotarev invariant of a finite group: a conjecture of Kowalski and
  Zywina   A subset $\{g_1, \ldots , g_d\}$ of a finite group $G$ invariably generates
$G$ if $\{g_1^{x_1}, \ldots , g_d^{x_d}\}$ generates $G$ for every choice of
$x_i \in G$. The Chebotarev invariant $C(G)$ of $G$ is the expected value of
the random variable $n$ that is minimal subject to the requirement that $n$
randomly chosen elements of $G$ invariably generate $G$. Confirming a
conjecture of Kowalski and Zywina, we prove that there exists an absolute
constant $\beta$ such that $C(G) \leq \beta\sqrt{|G|}$ for all finite groups
$G.$

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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph