Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Embedding properties of hereditarily just infinite profinite wreath
  products   We study infinitely iterated wreath products of finite permutation groups
with respect to product actions. In particular, we prove that, for every
non-empty class of finite simple groups $\mathcal{X}$, there exists a finitely
generated hereditarily just infinite profinite group $W$ with composition
factors in $\mathcal{X}$ such that any countably based profinite group with
composition factors in $\mathcal{X}$ can be embedded into $W$. Additionally we
investigate when infinitely iterated wreath products of finite simple groups
with respect to product actions are co-Hopfian or non-co-Hopfian.

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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin