Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Permutation Representations of the Orbits of the Automorphism Group of a
  Finite Module over Discrete Valuation Ring   Consider a discrete valuation ring $R$ whose residue field is finite of
cardinality at least $3$. For a finite torsion module, we consider transitive
subsets $O$ under the action of the automorphism group of the module. We prove
that the associated permutation representation on the complex vector space
$C[O]$ is multiplicity free. This is achieved by obtaining a complete
description of the transitive subsets of $O\times O$ under the diagonal action
of the automorphism group.

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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: nlin
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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph