Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetric Chain Decompositions of Quotients of Chain Products by Wreath
  Products   Subgroups of the symmetric group $S_n$ act on powers of chains $C^n$ by
permuting coordinates, and induce automorphisms of the ordered sets $C^n$. The
quotients defined are candidates for symmetric chain decompositions. We
establish this for some families of groups in order to enlarge the collection
of subgroups $G$ of the symmetric group $S_n$ for which the quotient $B_n/G$
obtained from the $G$-orbits on the Boolean lattice $B_n$ is a symmetric chain
order. The methods are also used to provide an elementary proof that quotients
of powers of SCOs by cyclic groups are SCOs.

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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: hep-th
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The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph