Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonabelian Cohen-Lenstra Heuristics over Function Fields   Boston, Bush, and Hajir have developed heuristics, extending the
Cohen-Lenstra heuristics, that conjecture the distribution of the Galois groups
of the maximal unramified pro-p extensions of imaginary quadratic number fields
for p an odd prime. In this paper, we find the moments of their proposed
distribution, and further prove there is a unique distribution with those
moments. Further, we show that in the function field analog, for imaginary
quadratic extensions of F_q(t), the Galois groups of the maximal unramified
pro-p extensions, as q goes to infinity, have the moments predicted by the
Boston, Bush, and Hajir heuristics. In fact, we determine the moments of the
Galois groups of the maximal unramified pro-odd extensions of imaginary
quadratic function fields, leading to a conjecture on Galois groups of the
maximal unramified pro-odd extensions of imaginary quadratic number fields.

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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc
3
The categories of this paper are: physics
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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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: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph