Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The affine automorphism group of A^3 is not a maximal subgroup of the
  tame automorphism group   We construct explicitly a family of proper subgroups of the tame automorphism
group of affine three-space (in any characteristic) which are generated by the
affine subgroup and a non-affine tame automorphism. One important corollary is
the titular result that settles negatively the open question (in characteristic
zero) of whether the affine subgroup is a maximal subgroup of the tame
automorphism group. We also prove that all groups of this family have the
structure of an amalgamated free product of the affine group and a finite group
over their intersection.

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The categories of this paper are: hep-th
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The categories of this paper are: eess
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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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: gr-qc
32
The categories of this paper are: atom-ph
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The categories of this paper are: physics
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The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat