Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Class Group Relations in a Function Field Analogue of ${\mathbb
  Q}(\zeta_p, \sqrt[p]{n})$   For an odd prime $p$ and polynomial $P(T)$, we consider the extension $F$ of
$k={\mathbb F}_p(T)$ defined by adjoining a root of $x^p+Tx-P(T)$. Such a field
is a function field analogue of the number field ${\mathbb Q}(\sqrt[p]{n})$. We
prove two theorems about the Galois closure $L$ of $F$: that its degree-0
divisor class group is $A^{p-1}$ for some group $A$, and that its class number
is the $(p-1)$-st power of the class number of $F$, in analogy with results of
R. Schoof and T. Honda for number fields.

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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
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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: hep-ex
37
The categories of this paper are: supr-con
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The categories of this paper are: nlin
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The categories of this paper are: hep-th
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The categories of this paper are: cmp-lg
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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: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: eess