Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Saturated subfields and invariants of finite groups   Every subfield $\kk(\phi)$ of the field of rational functions
$\kk(x_1,...,x_n)$ is contained in a unique maximal subfield of the form
$\kk(\psi)$. The element $\psi$ is called generative for the element $\phi$. A
subfield of $\kk(x_1,...,x_n)$ is called saturated if it contains a generative
element of each its element. We study the saturation property for subfields of
invariants $\kk(x_1,...,x_n)^G$, where $G$ is a finite group of automorphisms
of the field $\kk(x_1,...,x_n)$.

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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: q-bio