Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Criterion of Shmel'kin and Varieties Generated by Wreath Products of
  Finite Groups   We present a general criterion under which the equality var(A Wr B) = var(A)
var(B) holds for finite groups A and B. This continues our previous research on
varieties, generated by wreath products of abelian groups, and generalizes some
existing results in this direction in literature. The classification is based
on criterion of A.L. Shmel'kin for product varieties of groups and on technics
developed by R. Burns et al. on critical groups in nilpotent-by-abelian
varieties.

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The categories of this paper are: alg-geom
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The categories of this paper are: cs
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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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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: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: acc-phys